Atkin-Lehner |
2- 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656m |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-43343872 = -1 · 213 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2- -2 2 -1 11+ 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88,52] |
[a1,a2,a3,a4,a6] |
Generators |
[4:22:1] |
Generators of the group modulo torsion |
j |
18191447/10582 |
j-invariant |
L |
4.3713743488275 |
L(r)(E,1)/r! |
Ω |
1.2228992980647 |
Real period |
R |
1.7872993934757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582b1 |
Quadratic twists by: -4 |