Atkin-Lehner |
2+ 3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63954o |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
54998098771968 = 218 · 310 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52425,-4593267] |
[a1,a2,a3,a4,a6] |
Generators |
[33255:44109:125] |
Generators of the group modulo torsion |
j |
21858288865318801/75443208192 |
j-invariant |
L |
5.1164126404963 |
L(r)(E,1)/r! |
Ω |
0.31557652599461 |
Real period |
R |
8.1064531392916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318q1 |
Quadratic twists by: -3 |