Atkin-Lehner |
2- 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414x |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
334848 |
Modular degree for the optimal curve |
Δ |
18897809926366 = 2 · 77 · 234 · 41 |
Discriminant |
Eigenvalues |
2- 1 3 7- -2 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28764,1863602] |
[a1,a2,a3,a4,a6] |
j |
22370941181233/160628734 |
j-invariant |
L |
5.5283216895954 |
L(r)(E,1)/r! |
Ω |
0.6910402315135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202m1 |
Quadratic twists by: -7 |