Atkin-Lehner |
2- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108836g |
Isogeny class |
Conductor |
108836 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
26024068946512 = 24 · 72 · 137 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37180,-2748447] |
[a1,a2,a3,a4,a6] |
Generators |
[251:1932:1] |
Generators of the group modulo torsion |
j |
73598976000/336973 |
j-invariant |
L |
6.9157937435484 |
L(r)(E,1)/r! |
Ω |
0.34390766912028 |
Real period |
R |
3.3515748304401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8372a1 |
Quadratic twists by: 13 |