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	50400bs	Isogeny class
Conductor	50400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	4.9820570235248E+21	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5016675,2678035750]	[a1,a2,a3,a4,a6]
Generators	[234:38948:1]	Generators of the group modulo torsion
j	2394165105226952/854262178245	j-invariant
L	6.7452086859338	L(r)(E,1)/r!
Ω	0.12523780396462	Real period
R	6.7324007531874	Regulator
r	1	Rank of the group of rational points
S	1.0000000000033	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	50400ba3 100800nu4 16800bz3 10080bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 50400bs3

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

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Quadratic twists for elliptic curve 50400bs3

-4	8	-3	5
50400ba3	100800nu4	16800bz3	10080bz2

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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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