Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424q |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
291366766656 = 26 · 38 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2742,-47880] |
[a1,a2,a3,a4,a6] |
j |
35637273157312/4552605729 |
j-invariant |
L |
1.3305642206662 |
L(r)(E,1)/r! |
Ω |
0.6652821103331 |
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 |
11424u1 22848cy2 34272q1 79968co1 |
Quadratic twists by: -4 8 -3 -7 |