Cremona's table of elliptic curves

25200 = 2⁴ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	25200bs	Isogeny class
Conductor	25200	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	14177664900000000 = 28 · 310 · 58 · 74	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-166575,25532750]	[a1,a2,a3,a4,a6]
Generators	[-295:7000:1]	Generators of the group modulo torsion
j	175293437776/4862025	j-invariant
L	5.7416673270894	L(r)(E,1)/r!
Ω	0.39452300729314	Real period
R	1.8191801304832	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12600bw2 100800ny2 8400j2 5040i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200bs2

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

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Quadratic twists for elliptic curve 25200bs2

-4	8	-3	5
12600bw2	100800ny2	8400j2	5040i2

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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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