Atkin-Lehner |
2- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42194p |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
572832 |
Modular degree for the optimal curve |
Δ |
75349788023181824 = 29 · 1710 · 73 |
Discriminant |
Eigenvalues |
2- 2 -3 -2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168782,23122315] |
[a1,a2,a3,a4,a6] |
j |
263762497/37376 |
j-invariant |
L |
2.9783961163659 |
L(r)(E,1)/r! |
Ω |
0.33093290184252 |
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 |
42194q1 |
Quadratic twists by: 17 |