Cremona's table of elliptic curves

39984 = 2⁴ · 3 · 7² · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 17-	Signs for the Atkin-Lehner involutions
Class	39984cd	Isogeny class
Conductor	39984	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	1838592	Modular degree for the optimal curve
Δ	-1.2772627439393E+21	Discriminant
Eigenvalues	2- 3+ -1 7-  1  5 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2659736,-2395800336]	[a1,a2,a3,a4,a6]
j	-12589171852447/7727480832	j-invariant
L	1.3800900710312	L(r)(E,1)/r!
Ω	0.057503752958607	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4998t1 119952eq1 39984da1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 39984cd1

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	-	1	5	-	-8	6	-4	2	3	6	-13	-2	5	4	-2	5	-14	-11	-1	15	-5	1

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Quadratic twists for elliptic curve 39984cd1

-4	-3	-7
4998t1	119952eq1	39984da1

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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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