Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298q |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-7030610136 = -1 · 23 · 311 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- 2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-369,-4779] |
[a1,a2,a3,a4,a6] |
Generators |
[261:4068:1] |
Generators of the group modulo torsion |
j |
-63088729/79704 |
j-invariant |
L |
4.6906713155351 |
L(r)(E,1)/r! |
Ω |
0.51985235988828 |
Real period |
R |
4.5115418079897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766br1 89298co1 |
Quadratic twists by: -3 -11 |