Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bc |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-102771251292248 = -1 · 23 · 73 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11627,71929] |
[a1,a2,a3,a4,a6] |
j |
1174241375/694232 |
j-invariant |
L |
4.3613303321187 |
L(r)(E,1)/r! |
Ω |
0.36344420538037 |
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 |
3542m1 |
Quadratic twists by: -23 |