Cremona's table of elliptic curves

1870 = 2 · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5- 11- 17-	Signs for the Atkin-Lehner involutions
Class	1870f	Isogeny class
Conductor	1870	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	411400 = 23 · 52 · 112 · 17	Discriminant
Eigenvalues	2+  0 5- -4 11-  2 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-724,-7320]	[a1,a2,a3,a4,a6]
j	42002659053081/411400	j-invariant
L	0.92031617245532	L(r)(E,1)/r!
Ω	0.92031617245532	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14960m2 59840b2 16830bz2 9350y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1870f2

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

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Quadratic twists for elliptic curve 1870f2

-4	8	-3	5	-7	-11	17
14960m2	59840b2	16830bz2	9350y2	91630k2	20570n2	31790b2

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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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