Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720t |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-5835390400 = -1 · 26 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1133,-15132] |
[a1,a2,a3,a4,a6] |
Generators |
[2783:146804:1] |
Generators of the group modulo torsion |
j |
-2513237132736/91177975 |
j-invariant |
L |
3.8370606680362 |
L(r)(E,1)/r! |
Ω |
0.41057048188481 |
Real period |
R |
4.6728403980973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720g1 69440bo1 |
Quadratic twists by: -4 8 |