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	10120c	Isogeny class
Conductor	10120	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	6080	Modular degree for the optimal curve
Δ	-2226400000 = -1 · 28 · 55 · 112 · 23	Discriminant
Eigenvalues	2+ -2 5- -3 11+ -4 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-665,6763]	[a1,a2,a3,a4,a6]
Generators	[-29:50:1] [-9:110:1]	Generators of the group modulo torsion
j	-127233534976/8696875	j-invariant
L	4.4523799077232	L(r)(E,1)/r!
Ω	1.436513744765	Real period
R	0.077485856364907	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20240g1 80960i1 91080bu1 50600i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10120c1

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
+	-2	-	-3	+	-4	-3	-6	+	1	-7	7	-9	-12	-8	3	-3	-8	-5	-5	0	-6	5	-8	10

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Quadratic twists for elliptic curve 10120c1

-4	8	-3	5	-11
20240g1	80960i1	91080bu1	50600i1	111320v1

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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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