Cremona's table of elliptic curves

117600 = 2⁵ · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	117600bm	Isogeny class
Conductor	117600	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1881600	Modular degree for the optimal curve
Δ	-1961185300200000000 = -1 · 29 · 35 · 58 · 79	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0 -7  5  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,185792,59851912]	[a1,a2,a3,a4,a6]
Generators	[2973:163954:1]	Generators of the group modulo torsion
j	87880/243	j-invariant
L	5.7195188922422	L(r)(E,1)/r!
Ω	0.18431954630776	Real period
R	5.1717421256384	Regulator
r	1	Rank of the group of rational points
S	0.99999998582605	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	117600hq1 117600gn1 117600dv1	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 117600bm1

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
+	+	-	-	0	-7	5	2	3	3	9	8	3	1	-8	-3	-7	1	-12	12	-4	12	-3	10	2

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Quadratic twists for elliptic curve 117600bm1

-4	5	-7
117600hq1	117600gn1	117600dv1

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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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