Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298cn |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-153767342261016 = -1 · 23 · 37 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12002,785337] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:1131:1] |
Generators of the group modulo torsion |
j |
-148035889/119064 |
j-invariant |
L |
12.272504802509 |
L(r)(E,1)/r! |
Ω |
0.52944612986074 |
Real period |
R |
0.9658288875113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766d1 8118e1 |
Quadratic twists by: -3 -11 |