Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bh |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
492800 |
Modular degree for the optimal curve |
Δ |
-325325947262976 = -1 · 211 · 37 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45216,-3789824] |
[a1,a2,a3,a4,a6] |
j |
-7916293657/251904 |
j-invariant |
L |
1.3071429066457 |
L(r)(E,1)/r! |
Ω |
0.16339287238309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766bc1 738f1 |
Quadratic twists by: -3 -11 |