Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5150q |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-13184000000000 = -1 · 216 · 59 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -2 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-952763,-358031983] |
[a1,a2,a3,a4,a6] |
Generators |
[1502:39249:1] |
Generators of the group modulo torsion |
j |
-48972057559772381/6750208 |
j-invariant |
L |
6.0874046156309 |
L(r)(E,1)/r! |
Ω |
0.076405273074367 |
Real period |
R |
2.4897678731324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200bt1 46350ba1 5150g1 |
Quadratic twists by: -4 -3 5 |