Cremona's table of elliptic curves

10010 = 2 · 5 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11- 13-	Signs for the Atkin-Lehner involutions
Class	10010z	Isogeny class
Conductor	10010	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-14670296641000 = -1 · 23 · 53 · 72 · 116 · 132	Discriminant
Eigenvalues	2- -2 5- 7- 11- 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,2810,-174900]	[a1,a2,a3,a4,a6]
j	2453765252833439/14670296641000	j-invariant
L	2.1077798755456	L(r)(E,1)/r!
Ω	0.35129664592427	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	80080bl2 90090z2 50050i2 70070bp2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010z2

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

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Quadratic twists for elliptic curve 10010z2

-4	-3	5	-7	-11
80080bl2	90090z2	50050i2	70070bp2	110110x2

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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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