Atkin-Lehner |
2+ 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938a |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
97344 |
Modular degree for the optimal curve |
Δ |
-2951313748578 = -1 · 2 · 33 · 138 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3890,123102] |
[a1,a2,a3,a4,a6] |
j |
-7983625/3618 |
j-invariant |
L |
0.75011387553058 |
L(r)(E,1)/r! |
Ω |
0.7501138824291 |
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 |
67938l1 |
Quadratic twists by: 13 |