Atkin-Lehner |
2- 3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482bw |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
245952 |
Modular degree for the optimal curve |
Δ |
-250907198724 = -1 · 22 · 33 · 78 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -5 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,636,-23031] |
[a1,a2,a3,a4,a6] |
Generators |
[2745:4347:125] |
Generators of the group modulo torsion |
j |
4934783/43524 |
j-invariant |
L |
11.995890149213 |
L(r)(E,1)/r! |
Ω |
0.48782064819902 |
Real period |
R |
4.0984633187678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999604244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118482cx1 |
Quadratic twists by: -7 |