Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35322v |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
4885920 |
Modular degree for the optimal curve |
Δ |
3.1090073922189E+23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -6 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20257605,22616686923] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:12860:1] |
Generators of the group modulo torsion |
j |
1837824455085361/621495189504 |
j-invariant |
L |
6.979533848065 |
L(r)(E,1)/r! |
Ω |
0.089092350819114 |
Real period |
R |
1.0043645987295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966r1 35322n1 |
Quadratic twists by: -3 29 |