Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bw |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
208012423193837568 = 214 · 316 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-908139,-332377958] |
[a1,a2,a3,a4,a6] |
j |
27739154300781097/69662939652 |
j-invariant |
L |
1.8561285842898 |
L(r)(E,1)/r! |
Ω |
0.15467745486489 |
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 |
14706p1 39216bf1 |
Quadratic twists by: -4 -3 |