Cremona's table of elliptic curves

50400 = 2⁵ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	50400bq	Isogeny class
Conductor	50400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1.7793060798303E+22	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6528675,-195898250]	[a1,a2,a3,a4,a6]
Generators	[-33945:2095750:27]	Generators of the group modulo torsion
j	5276930158229192/3050936350875	j-invariant
L	5.5548684083371	L(r)(E,1)/r!
Ω	0.10333375118949	Real period
R	6.7195717086872	Regulator
r	1	Rank of the group of rational points
S	0.99999999999524	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	50400dd3 100800fj3 16800bx2 10080by3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 50400bq3

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

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Quadratic twists for elliptic curve 50400bq3

-4	8	-3	5
50400dd3	100800fj3	16800bx2	10080by3

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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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