Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14706r |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
21441348 = 22 · 38 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1373,-19231] |
[a1,a2,a3,a4,a6] |
j |
392383937161/29412 |
j-invariant |
L |
6.2747810347511 |
L(r)(E,1)/r! |
Ω |
0.78434762934389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648bk1 4902g1 |
Quadratic twists by: -4 -3 |