Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15504v |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
8540061431758848 = 234 · 34 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154776,-23063148] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:30:1] |
Generators of the group modulo torsion |
j |
100109991859083289/2084975935488 |
j-invariant |
L |
7.1689436193905 |
L(r)(E,1)/r! |
Ω |
0.24100353635046 |
Real period |
R |
3.7182771920854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938d1 62016cf1 46512bh1 |
Quadratic twists by: -4 8 -3 |