Atkin-Lehner |
2+ 3- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63954l |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
74927780193632256 = 222 · 37 · 113 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4588551,-3782048963] |
[a1,a2,a3,a4,a6] |
j |
14656252089243737410417/102781591486464 |
j-invariant |
L |
0.82522206533728 |
L(r)(E,1)/r! |
Ω |
0.10315275752328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318o1 |
Quadratic twists by: -3 |