Atkin-Lehner |
5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34225j |
Isogeny class |
Conductor |
34225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
681984 |
Modular degree for the optimal curve |
Δ |
2030652184298078125 = 56 · 379 |
Discriminant |
Eigenvalues |
2 -1 5+ -3 3 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-422108,-80118507] |
[a1,a2,a3,a4,a6] |
j |
4096 |
j-invariant |
L |
3.0501986944075 |
L(r)(E,1)/r! |
Ω |
0.19063741840079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1369f1 34225k1 |
Quadratic twists by: 5 37 |