Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bu |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
194304 |
Modular degree for the optimal curve |
Δ |
29065778110314 = 2 · 37 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11- 1 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20714,1122927] |
[a1,a2,a3,a4,a6] |
j |
6289657/186 |
j-invariant |
L |
2.641159844311 |
L(r)(E,1)/r! |
Ω |
0.66028996330139 |
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 |
22506g1 67518o1 |
Quadratic twists by: -3 -11 |