Cremona's table of elliptic curves

23520 = 2⁵ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	23520h	Isogeny class
Conductor	23520	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-39513600 = -1 · 29 · 32 · 52 · 73	Discriminant
Eigenvalues	2+ 3+ 5- 7-  2 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,40,-300]	[a1,a2,a3,a4,a6]
Generators	[12:42:1]	Generators of the group modulo torsion
j	39304/225	j-invariant
L	4.6704440805388	L(r)(E,1)/r!
Ω	1.0241858341514	Real period
R	1.1400382442334	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23520t2 47040gb2 70560dc2 117600gq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520h2

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
+	+	-	-	2	-2	0	-4	0	-4	-6	-8	10	-10	6	10	12	14	-6	16	2	0	0	10	-2

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Quadratic twists for elliptic curve 23520h2

-4	8	-3	5	-7
23520t2	47040gb2	70560dc2	117600gq2	23520o2

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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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