Cremona's table of elliptic curves

10230 = 2 · 3 · 5 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 11+ 31+	Signs for the Atkin-Lehner involutions
Class	10230g	Isogeny class
Conductor	10230	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	-3.5414600372314E+27	Discriminant
Eigenvalues	2+ 3+ 5-  0 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,379858593,278924877189]	[a1,a2,a3,a4,a6]
j	6061632128927892051151882160519/3541460037231445312500000000	j-invariant
L	0.75279328673866	L(r)(E,1)/r!
Ω	0.026885474526381	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	81840dm3 30690bd3 51150cd3 112530bz3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10230g4

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	2	-4	-8	-2	+	2	-6	-8	12	2	-12	14	-8	0	10	-8	8	-6	18

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Quadratic twists for elliptic curve 10230g4

-4	-3	5	-11
81840dm3	30690bd3	51150cd3	112530bz3

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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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