Cremona's table of elliptic curves

10120 = 2³ · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11- 23-	Signs for the Atkin-Lehner involutions
Class	10120b	Isogeny class
Conductor	10120	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	21888	Modular degree for the optimal curve
Δ	-93117092750000 = -1 · 24 · 56 · 113 · 234	Discriminant
Eigenvalues	2+  0 5+ -2 11-  4  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-21598,1306953]	[a1,a2,a3,a4,a6]
Generators	[36:759:1]	Generators of the group modulo torsion
j	-69637687367215104/5819818296875	j-invariant
L	3.7313132815795	L(r)(E,1)/r!
Ω	0.58942264610198	Real period
R	0.52753788053668	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20240a1 80960w1 91080bw1 50600k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10120b1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	+	-2	-	4	0	0	-	-6	0	-2	6	10	-8	-2	4	14	-4	-8	12	12	-14	-2	-18

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Quadratic twists for elliptic curve 10120b1

-4	8	-3	5	-11
20240a1	80960w1	91080bw1	50600k1	111320o1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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