Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bc |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
66267600 = 24 · 3 · 52 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55221,5013096] |
[a1,a2,a3,a4,a6] |
j |
1163923388486385664/4141725 |
j-invariant |
L |
1.3066716378405 |
L(r)(E,1)/r! |
Ω |
1.3066716378542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9660d1 115920ei1 |
Quadratic twists by: -4 -3 |