Atkin-Lehner |
7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
67081f |
Isogeny class |
Conductor |
67081 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1034208 |
Modular degree for the optimal curve |
Δ |
11168640412820317 = 76 · 377 |
Discriminant |
Eigenvalues |
2 3 -2 7- -5 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-67081,-4343495] |
[a1,a2,a3,a4,a6] |
j |
110592/37 |
j-invariant |
L |
5.4835892834298 |
L(r)(E,1)/r! |
Ω |
0.30464384933259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1369d1 1813b1 |
Quadratic twists by: -7 37 |