Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920bq |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-7.7905983122556E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1300264,-4207667436] |
[a1,a2,a3,a4,a6] |
j |
59355100650962613671/1902001541078016000 |
j-invariant |
L |
2.6643951839764 |
L(r)(E,1)/r! |
Ω |
0.063437980570841 |
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 |
3990d1 127680eu1 95760fb1 |
Quadratic twists by: -4 8 -3 |