Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870bj |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-3734870158809676800 = -1 · 210 · 34 · 52 · 239 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,383514,-16960284] |
[a1,a2,a3,a4,a6] |
j |
3463512697/2073600 |
j-invariant |
L |
5.8019182707867 |
L(r)(E,1)/r! |
Ω |
0.14504795676967 |
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 |
126960bn1 47610bc1 79350m1 15870bn1 |
Quadratic twists by: -4 -3 5 -23 |