Cremona's table of elliptic curves

61600 = 2⁵ · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	61600bl	Isogeny class
Conductor	61600	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	82944	Modular degree for the optimal curve
Δ	-1690304000000 = -1 · 212 · 56 · 74 · 11	Discriminant
Eigenvalues	2-  1 5+ 7- 11+ -6  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1933,-71237]	[a1,a2,a3,a4,a6]
Generators	[117:1148:1]	Generators of the group modulo torsion
j	-12487168/26411	j-invariant
L	6.7390816297542	L(r)(E,1)/r!
Ω	0.33753833242229	Real period
R	2.4956727067748	Regulator
r	1	Rank of the group of rational points
S	1.0000000000032	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	61600bh1 123200ge1 2464a1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 61600bl1

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
-	1	+	-	+	-6	0	6	-3	0	3	1	-10	-2	12	6	-11	4	7	13	14	2	-14	-17	15

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Quadratic twists for elliptic curve 61600bl1

-4	8	5
61600bh1	123200ge1	2464a1

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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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