Cremona's table of elliptic curves

Curve 15870bc2

15870 = 2 · 3 · 5 · 232



Data for elliptic curve 15870bc2

Field Data Notes
Atkin-Lehner 2- 3+ 5- 23- Signs for the Atkin-Lehner involutions
Class 15870bc Isogeny class
Conductor 15870 Conductor
∏ cp 48 Product of Tamagawa factors cp
Δ 1174664779215000 = 23 · 3 · 54 · 238 Discriminant
Eigenvalues 2- 3+ 5-  2  2 -6  4  0 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-61375,-5640883] [a1,a2,a3,a4,a6]
j 172715635009/7935000 j-invariant
L 3.6501983530741 L(r)(E,1)/r!
Ω 0.30418319608951 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 126960dc2 47610q2 79350bg2 690h2 Quadratic twists by: -4 -3 5 -23


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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