Cremona's table of elliptic curves

26100 = 2² · 3² · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	26100k	Isogeny class
Conductor	26100	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-12261780000000 = -1 · 28 · 36 · 57 · 292	Discriminant
Eigenvalues	2- 3- 5+  0  2  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,3825,141750]	[a1,a2,a3,a4,a6]
Generators	[15:-450:1]	Generators of the group modulo torsion
j	2122416/4205	j-invariant
L	5.6210922713819	L(r)(E,1)/r!
Ω	0.49201883335475	Real period
R	0.47602279038246	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	104400dn2 2900e2 5220n2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 26100k2

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

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Quadratic twists for elliptic curve 26100k2

-4	-3	5
104400dn2	2900e2	5220n2

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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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