Atkin-Lehner |
3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155q |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-8922688421625 = -1 · 32 · 53 · 118 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 11- 7 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181321,29703290] |
[a1,a2,a3,a4,a6] |
j |
-3075577657009/41625 |
j-invariant |
L |
1.3342867450007 |
L(r)(E,1)/r! |
Ω |
0.66714336759014 |
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 |
67155n1 |
Quadratic twists by: -11 |