Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010n |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
8.121897480303E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13223655,-17990316675] |
[a1,a2,a3,a4,a6] |
j |
350792849898814825511281/11141148807000000000 |
j-invariant |
L |
0.95189198457844 |
L(r)(E,1)/r! |
Ω |
0.079324332125601 |
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 |
17670bb1 |
Quadratic twists by: -3 |