Atkin-Lehner |
2- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38726b |
Isogeny class |
Conductor |
38726 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
545117161057313792 = 210 · 179 · 672 |
Discriminant |
Eigenvalues |
2- -2 -2 4 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-236119,-26257047] |
[a1,a2,a3,a4,a6] |
j |
60314690631313/22583763968 |
j-invariant |
L |
2.2345476108186 |
L(r)(E,1)/r! |
Ω |
0.22345476109047 |
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 |
2278b1 |
Quadratic twists by: 17 |