Cremona's table of elliptic curves

83520 = 2⁶ · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 29-	Signs for the Atkin-Lehner involutions
Class	83520dd	Isogeny class
Conductor	83520	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	12713013504000000 = 214 · 310 · 56 · 292	Discriminant
Eigenvalues	2+ 3- 5-  4  4  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-174972,27643664]	[a1,a2,a3,a4,a6]
j	49600026959056/1064390625	j-invariant
L	4.7912976920264	L(r)(E,1)/r!
Ω	0.39927481195821	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	83520gq2 10440s2 27840h2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 83520dd2

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	4	2	-6	4	4	-	8	-2	6	-4	8	6	-12	-6	0	-8	-10	-16	0	6	-10

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Quadratic twists for elliptic curve 83520dd2

-4	8	-3
83520gq2	10440s2	27840h2

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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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