Atkin-Lehner |
2+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68672i |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-236556910592 = -1 · 218 · 293 · 37 |
Discriminant |
Eigenvalues |
2+ -3 2 2 -1 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-844,-25232] |
[a1,a2,a3,a4,a6] |
j |
-253636137/902393 |
j-invariant |
L |
1.625250285912 |
L(r)(E,1)/r! |
Ω |
0.40631257439285 |
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 |
68672z1 1073b1 |
Quadratic twists by: -4 8 |