Atkin-Lehner |
5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34225a |
Isogeny class |
Conductor |
34225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
37082764505078125 = 58 · 377 |
Discriminant |
Eigenvalues |
0 1 5+ 3 -5 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-182533,28490094] |
[a1,a2,a3,a4,a6] |
Generators |
[198:387:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
5.6400400902624 |
L(r)(E,1)/r! |
Ω |
0.3601354380709 |
Real period |
R |
3.9152215347604 |
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 |
6845a1 925a1 |
Quadratic twists by: 5 37 |