Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63308f |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
8011558492534016 = 28 · 713 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 2 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54488,-2328284] |
[a1,a2,a3,a4,a6] |
Generators |
[-2184:33614:27] |
Generators of the group modulo torsion |
j |
594015952896/266004389 |
j-invariant |
L |
5.368669272023 |
L(r)(E,1)/r! |
Ω |
0.32581418372754 |
Real period |
R |
1.3731418959142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9044f1 |
Quadratic twists by: -7 |