Atkin-Lehner |
2- 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394cn |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1748468801572416 = 26 · 32 · 72 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31402,732260] |
[a1,a2,a3,a4,a6] |
j |
1933038007993/986965056 |
j-invariant |
L |
4.9921190401617 |
L(r)(E,1)/r! |
Ω |
0.41600992138947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854i2 |
Quadratic twists by: -11 |