Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34692r |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
546150882399696 = 24 · 35 · 79 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21037,332240] |
[a1,a2,a3,a4,a6] |
Generators |
[1388:51450:1] |
Generators of the group modulo torsion |
j |
1594753024/845883 |
j-invariant |
L |
7.9175296285455 |
L(r)(E,1)/r! |
Ω |
0.45518519152053 |
Real period |
R |
3.4788168754336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104076l1 34692j1 |
Quadratic twists by: -3 -7 |