Cremona's table of elliptic curves

Curve 15870r2

15870 = 2 · 3 · 5 · 232



Data for elliptic curve 15870r2

Field Data Notes
Atkin-Lehner 2+ 3- 5- 23- Signs for the Atkin-Lehner involutions
Class 15870r Isogeny class
Conductor 15870 Conductor
∏ cp 2 Product of Tamagawa factors cp
Δ -5.0451468104915E+22 Discriminant
Eigenvalues 2+ 3- 5- -1 -3 -4 -6  2 Hecke eigenvalues for primes up to 20
Equation [1,0,1,4100532,-10322996342] [a1,a2,a3,a4,a6]
j 97369242756359/644245094400 j-invariant
L 1.0114943721592 L(r)(E,1)/r!
Ω 0.056194131786622 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 9 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 126960bs2 47610bt2 79350ch2 15870k2 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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