Atkin-Lehner |
2- 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29264h |
Isogeny class |
Conductor |
29264 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-3338010099712 = -1 · 219 · 31 · 593 |
Discriminant |
Eigenvalues |
2- 0 4 0 0 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3323,114730] |
[a1,a2,a3,a4,a6] |
j |
-990728800209/814943872 |
j-invariant |
L |
4.3677964567078 |
L(r)(E,1)/r! |
Ω |
0.72796607611825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3658b1 117056p1 |
Quadratic twists by: -4 8 |