Atkin-Lehner |
2- 3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482cg |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
805197044590848 = 28 · 36 · 77 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30381,1500771] |
[a1,a2,a3,a4,a6] |
j |
26359827238081/6844061952 |
j-invariant |
L |
7.5269965937166 |
L(r)(E,1)/r! |
Ω |
0.47043736874678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926bk1 |
Quadratic twists by: -7 |