Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760r |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
489984 |
Modular degree for the optimal curve |
Δ |
-9295972976998400 = -1 · 211 · 52 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11- -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4880,4639028] |
[a1,a2,a3,a4,a6] |
j |
-242/175 |
j-invariant |
L |
1.3263410632888 |
L(r)(E,1)/r! |
Ω |
0.33158526498308 |
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 |
33880q1 67760k1 |
Quadratic twists by: -4 -11 |