Atkin-Lehner |
31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45167c |
Isogeny class |
Conductor |
45167 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1293092863217 = 317 · 47 |
Discriminant |
Eigenvalues |
-1 0 -2 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29491,1955890] |
[a1,a2,a3,a4,a6] |
j |
3196010817/1457 |
j-invariant |
L |
0.21165273609902 |
L(r)(E,1)/r! |
Ω |
0.84661094471646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1457a2 |
Quadratic twists by: -31 |