Cremona's table of elliptic curves

100 = 2² · 5²

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	100a	Isogeny class
Conductor	100	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-62500000000 = -1 · 28 · 512	Discriminant
Eigenvalues	2-  2 5+ -2  0 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-908,-15688]	[a1,a2,a3,a4,a6]
j	-20720464/15625	j-invariant
L	1.2630989622762	L(r)(E,1)/r!
Ω	0.42103298742541	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	400e4 1600g4 900e4 20a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100a4

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

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Quadratic twists for elliptic curve 100a4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
400e4	1600g4	900e4	20a3	4900k4	12100f4	16900j4	28900d4	36100j4	52900n4	84100e4	96100g4

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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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