Atkin-Lehner |
2- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17908b |
Isogeny class |
Conductor |
17908 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-138679552 = -1 · 28 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 2 11- 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,121,-242] |
[a1,a2,a3,a4,a6] |
j |
52272/37 |
j-invariant |
L |
3.1130239177998 |
L(r)(E,1)/r! |
Ω |
1.0376746392666 |
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 |
71632n1 17908c1 |
Quadratic twists by: -4 -11 |