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	24	Product of Tamagawa factors cp
Δ	29988984608000 = 28 · 53 · 116 · 232	Discriminant
Eigenvalues	2+  0 5+ -2 11-  4  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-352223,80458578]	[a1,a2,a3,a4,a6]
Generators	[243:3036:1]	Generators of the group modulo torsion
j	18877169793994660944/117144471125	j-invariant
L	3.7313132815795	L(r)(E,1)/r!
Ω	0.58942264610198	Real period
R	1.0550757610734	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	20240a2 80960w2 91080bw2 50600k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10120b2

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 10120b2

-4	8	-3	5	-11
20240a2	80960w2	91080bw2	50600k2	111320o2

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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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