Atkin-Lehner |
2+ 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
34760f |
Isogeny class |
Conductor |
34760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
69520 = 24 · 5 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140,593] |
[a1,a2,a3,a4,a6] |
Generators |
[8:7:1] |
Generators of the group modulo torsion |
j |
19102326016/4345 |
j-invariant |
L |
7.5809638654459 |
L(r)(E,1)/r! |
Ω |
3.376889475215 |
Real period |
R |
1.1224773450667 |
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 |
69520m1 |
Quadratic twists by: -4 |