Cremona's table of elliptic curves

7820 = 2² · 5 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 17- 23-	Signs for the Atkin-Lehner involutions
Class	7820a	Isogeny class
Conductor	7820	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	14616	Modular degree for the optimal curve
Δ	-258548750000 = -1 · 24 · 57 · 17 · 233	Discriminant
Eigenvalues	2-  3 5+  2  5  6 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1592,857]	[a1,a2,a3,a4,a6]
j	27888998547456/16159296875	j-invariant
L	5.3073735698984	L(r)(E,1)/r!
Ω	0.58970817443315	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	31280p1 125120bk1 70380bj1 39100b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7820a1

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
-	3	+	2	5	6	-	0	-	6	-6	-2	0	3	-4	-3	3	-11	4	-12	-6	3	-3	-12	-2

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Quadratic twists for elliptic curve 7820a1

-4	8	-3	5
31280p1	125120bk1	70380bj1	39100b1

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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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