Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240v |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
295936 |
Modular degree for the optimal curve |
Δ |
189740602395200 = 26 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37666,-2721984] |
[a1,a2,a3,a4,a6] |
j |
778688/25 |
j-invariant |
L |
2.7469789716484 |
L(r)(E,1)/r! |
Ω |
0.34337237146639 |
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 |
46240b1 92480cf1 46240bg1 |
Quadratic twists by: -4 8 17 |