Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15190v |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-70911664140800000 = -1 · 212 · 55 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2712151,-1719444119] |
[a1,a2,a3,a4,a6] |
j |
-382719859146912049/12300800000 |
j-invariant |
L |
4.2351885592925 |
L(r)(E,1)/r! |
Ω |
0.058822063323507 |
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 |
121520bf1 75950d1 15190bj1 |
Quadratic twists by: -4 5 -7 |