Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bx |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-382859964144 = -1 · 24 · 38 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1617,-16121] |
[a1,a2,a3,a4,a6] |
Generators |
[65:603:1] |
Generators of the group modulo torsion |
j |
340736/279 |
j-invariant |
L |
6.4262257371871 |
L(r)(E,1)/r! |
Ω |
0.52695805927571 |
Real period |
R |
3.0487367861729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456n1 2232i1 |
Quadratic twists by: -3 -7 |