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	1870h	Isogeny class
Conductor	1870	Conductor
∏ cp	60	Product of Tamagawa factors cp
Δ	-4.5746999655414E+23	Discriminant
Eigenvalues	2- -1 5- -2 11- -1 17- -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,17283565,-17141361543]	[a1,a2,a3,a4,a6]
Generators	[27795:1113446:27]	Generators of the group modulo torsion
j	570983676137286216962798159/457469996554140806256680	j-invariant
L	3.6215667601731	L(r)(E,1)/r!
Ω	0.05203900985981	Real period
R	1.1598884407196	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14960n2 59840c2 16830p2 9350f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1870h2

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	-	-2	-	-1	-	-5	-6	-5	7	-12	2	-6	-7	9	-5	-3	-2	-13	9	0	4	15	-17

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Quadratic twists for elliptic curve 1870h2

-4	8	-3	5	-7	-11	17
14960n2	59840c2	16830p2	9350f2	91630bp2	20570d2	31790n2

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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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