Cremona's table of elliptic curves

12600 = 2³ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	12600ce	Isogeny class
Conductor	12600	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	157529610000000000 = 210 · 38 · 510 · 74	Discriminant
Eigenvalues	2- 3- 5+ 7- -4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-135075,-675250]	[a1,a2,a3,a4,a6]
j	23366901604/13505625	j-invariant
L	2.1783426985184	L(r)(E,1)/r!
Ω	0.2722928373148	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	25200bc3 100800fi3 4200d3 2520f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12600ce4

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

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Quadratic twists for elliptic curve 12600ce4

-4	8	-3	5	-7
25200bc3	100800fi3	4200d3	2520f4	88200hb3

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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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