Atkin-Lehner |
5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34225f |
Isogeny class |
Conductor |
34225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
927069112626953125 = 510 · 377 |
Discriminant |
Eigenvalues |
-2 -1 5+ 5 3 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5350508,4765217418] |
[a1,a2,a3,a4,a6] |
Generators |
[11226:34221:8] |
Generators of the group modulo torsion |
j |
422550360064/23125 |
j-invariant |
L |
2.6814117642006 |
L(r)(E,1)/r! |
Ω |
0.26416852466109 |
Real period |
R |
1.2687979045008 |
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 |
6845d1 925d1 |
Quadratic twists by: 5 37 |