Cremona's table of elliptic curves

Curve 8670l2

8670 = 2 · 3 · 5 · 172



Data for elliptic curve 8670l2

Field Data Notes
Atkin-Lehner 2+ 3- 5- 17+ Signs for the Atkin-Lehner involutions
Class 8670l Isogeny class
Conductor 8670 Conductor
∏ cp 112 Product of Tamagawa factors cp
Δ 2.512175555149E+19 Discriminant
Eigenvalues 2+ 3- 5- -2  4  4 17+ -4 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-13349928,18771756406] [a1,a2,a3,a4,a6]
Generators [-3070:177102:1] Generators of the group modulo torsion
j 10901014250685308569/1040774054400 j-invariant
L 4.1317131552688 L(r)(E,1)/r!
Ω 0.20319366912943 Real period
R 0.72620955539098 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 69360ct2 26010bk2 43350cb2 510a2 Quadratic twists by: -4 -3 5 17


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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