Atkin-Lehner |
2- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680be |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
27872000000000 = 214 · 59 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 2 5- 1 6 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24440,-1440400] |
[a1,a2,a3,a4,a6] |
j |
394171426055161/6804687500 |
j-invariant |
L |
6.8801850280544 |
L(r)(E,1)/r! |
Ω |
0.38223250100193 |
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 |
8710h1 |
Quadratic twists by: -4 |