Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70395o |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
9072000 |
Modular degree for the optimal curve |
Δ |
-8.991788013552E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 3 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1720646,14452728335] |
[a1,a2,a3,a4,a6] |
j |
-11975039274594304/1911280609996875 |
j-invariant |
L |
3.6871649265964 |
L(r)(E,1)/r! |
Ω |
0.087789640868691 |
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 |
3705b1 |
Quadratic twists by: -19 |