Atkin-Lehner |
2+ 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158t |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-31721066747854848 = -1 · 216 · 310 · 7 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125433,19157229] |
[a1,a2,a3,a4,a6] |
j |
-299387428352690833/43513123110912 |
j-invariant |
L |
1.4316188988487 |
L(r)(E,1)/r! |
Ω |
0.35790472433717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22386x1 |
Quadratic twists by: -3 |