Atkin-Lehner |
2- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
74704s |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-442227003806973952 = -1 · 228 · 7 · 234 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-720299,-237462822] |
[a1,a2,a3,a4,a6] |
j |
-10090256344188054273/107965577101312 |
j-invariant |
L |
2.9479282808744 |
L(r)(E,1)/r! |
Ω |
0.081886895961006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338h1 |
Quadratic twists by: -4 |