Atkin-Lehner |
2+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17864d |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
2751056 = 24 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1167,15740] |
[a1,a2,a3,a4,a6] |
j |
10994826754048/171941 |
j-invariant |
L |
4.6728806884119 |
L(r)(E,1)/r! |
Ω |
2.336440344206 |
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 |
35728k1 125048h1 |
Quadratic twists by: -4 -7 |