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	10230bg	Isogeny class
Conductor	10230	Conductor
∏ cp	2000	Product of Tamagawa factors cp
Δ	-6242069790000000000 = -1 · 210 · 310 · 510 · 11 · 312	Discriminant
Eigenvalues	2- 3- 5- -2 11- -6  8  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-430355,162005025]	[a1,a2,a3,a4,a6]
j	-8814635019030000319921/6242069790000000000	j-invariant
L	4.3919344540704	L(r)(E,1)/r!
Ω	0.21959672270352	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	10	Number of elements in the torsion subgroup
Twists	81840bz2 30690f2 51150k2 112530bf2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10230bg2

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

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Quadratic twists for elliptic curve 10230bg2

-4	-3	5	-11
81840bz2	30690f2	51150k2	112530bf2

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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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