Cremona's table of elliptic curves

5070 = 2 · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	5070t	Isogeny class
Conductor	5070	Conductor
∏ cp	720	Product of Tamagawa factors cp
Δ	-7.685883787076E+21	Discriminant
Eigenvalues	2- 3- 5+ -2  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-9020801,-11249839095]	[a1,a2,a3,a4,a6]
Generators	[4018:129811:1]	Generators of the group modulo torsion
j	-16818951115904497561/1592332281446400	j-invariant
L	5.9665387560509	L(r)(E,1)/r!
Ω	0.043323853424623	Real period
R	0.76510824669111	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	40560bi3 15210u3 25350c3 390d3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5070t3

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

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Quadratic twists for elliptic curve 5070t3

-4	-3	5	13
40560bi3	15210u3	25350c3	390d3

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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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