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	50400dv	Isogeny class
Conductor	50400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	122472000000 = 29 · 37 · 56 · 7	Discriminant
Eigenvalues	2- 3- 5+ 7-  4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-50475,4364750]	[a1,a2,a3,a4,a6]
j	2438569736/21	j-invariant
L	3.7655307727124	L(r)(E,1)/r!
Ω	0.9413826933297	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	50400di4 100800oa4 16800k2 2016c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 50400dv4

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

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Quadratic twists for elliptic curve 50400dv4

-4	8	-3	5
50400di4	100800oa4	16800k2	2016c3

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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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