Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15345b |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
8154962145 = 314 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-563,2882] |
[a1,a2,a3,a4,a6] |
j |
27027009001/11186505 |
j-invariant |
L |
1.1870497354498 |
L(r)(E,1)/r! |
Ω |
1.1870497354498 |
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 |
5115j1 76725m1 |
Quadratic twists by: -3 5 |