Atkin-Lehner |
2- 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672bc |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-4952680369851727872 = -1 · 220 · 315 · 173 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 1 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-418512,-149552748] |
[a1,a2,a3,a4,a6] |
j |
-1979194826139139153/1209150480920832 |
j-invariant |
L |
2.7393259601306 |
L(r)(E,1)/r! |
Ω |
0.091310865359975 |
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 |
6834k1 |
Quadratic twists by: -4 |