Atkin-Lehner |
2+ 11+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15466b |
Isogeny class |
Conductor |
15466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102240 |
Modular degree for the optimal curve |
Δ |
-210302346428416 = -1 · 215 · 113 · 194 · 37 |
Discriminant |
Eigenvalues |
2+ 0 1 -4 11+ 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-389294,-93395244] |
[a1,a2,a3,a4,a6] |
j |
-6524653761151094949561/210302346428416 |
j-invariant |
L |
0.38226033021144 |
L(r)(E,1)/r! |
Ω |
0.095565082552859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123728n1 |
Quadratic twists by: -4 |