Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298co |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-12455154723142296 = -1 · 23 · 311 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44672,6494843] |
[a1,a2,a3,a4,a6] |
Generators |
[1623:64051:1] |
Generators of the group modulo torsion |
j |
-63088729/79704 |
j-invariant |
L |
12.761927913245 |
L(r)(E,1)/r! |
Ω |
0.3616476211316 |
Real period |
R |
5.8813824888792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766r1 89298q1 |
Quadratic twists by: -3 -11 |