Atkin-Lehner |
2+ 3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63954n |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
11282636772 = 22 · 38 · 113 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-725472,238018284] |
[a1,a2,a3,a4,a6] |
Generators |
[490:-168:1] |
Generators of the group modulo torsion |
j |
57923992190610906625/15476868 |
j-invariant |
L |
4.3142014167285 |
L(r)(E,1)/r! |
Ω |
0.75374623800841 |
Real period |
R |
0.95394647854527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318p1 |
Quadratic twists by: -3 |