Atkin-Lehner |
2+ 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970q |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-2.7903058949198E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7582463,81276661] |
[a1,a2,a3,a4,a6] |
j |
3292939724890125839639/1905816470814720000 |
j-invariant |
L |
1.6981245097502 |
L(r)(E,1)/r! |
Ω |
0.070755187343768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970bv1 |
Quadratic twists by: -11 |