Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bg |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
74954880 |
Modular degree for the optimal curve |
Δ |
3.457005872914E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31671635129,2169468305732756] |
[a1,a2,a3,a4,a6] |
Generators |
[100698:-1184822:1] |
Generators of the group modulo torsion |
j |
4307133670770643495402925929/42379253152021800 |
j-invariant |
L |
4.6882038050748 |
L(r)(E,1)/r! |
Ω |
0.045649718441871 |
Real period |
R |
0.56428303274524 |
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 |
106470fy1 35490dn1 |
Quadratic twists by: -3 13 |