Atkin-Lehner |
2+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
34528a |
Isogeny class |
Conductor |
34528 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
47360 |
Modular degree for the optimal curve |
Δ |
-1309612788224 = -1 · 29 · 135 · 832 |
Discriminant |
Eigenvalues |
2+ 1 3 3 -2 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1344,57788] |
[a1,a2,a3,a4,a6] |
Generators |
[1178:14027:8] |
Generators of the group modulo torsion |
j |
-524776831496/2557837477 |
j-invariant |
L |
9.1354151282283 |
L(r)(E,1)/r! |
Ω |
0.74517359513665 |
Real period |
R |
1.2259445567919 |
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 |
34528d1 69056c1 |
Quadratic twists by: -4 8 |