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	108	Product of Tamagawa factors cp
deg	14400	Modular degree for the optimal curve
Δ	121121000000 = 26 · 56 · 7 · 113 · 13	Discriminant
Eigenvalues	2- -2 5- 7- 11- 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2190,-35900]	[a1,a2,a3,a4,a6]
j	1161631688686561/121121000000	j-invariant
L	2.1077798755456	L(r)(E,1)/r!
Ω	0.70259329184855	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	80080bl1 90090z1 50050i1 70070bp1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010z1

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 10010z1

-4	-3	5	-7	-11
80080bl1	90090z1	50050i1	70070bp1	110110x1

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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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