Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190bm |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-145884760000 = -1 · 26 · 54 · 76 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3235,72897] |
[a1,a2,a3,a4,a6] |
Generators |
[4:243:1] |
Generators of the group modulo torsion |
j |
-31824875809/1240000 |
j-invariant |
L |
5.5970788160481 |
L(r)(E,1)/r! |
Ω |
1.0234289648665 |
Real period |
R |
0.22787279365867 |
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 |
121520co1 75950bc1 310a1 |
Quadratic twists by: -4 5 -7 |