Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27830k |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-512072000 = -1 · 26 · 53 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,107,-992] |
[a1,a2,a3,a4,a6] |
Generators |
[59:430:1] |
Generators of the group modulo torsion |
j |
1134778799/4232000 |
j-invariant |
L |
5.0749066029931 |
L(r)(E,1)/r! |
Ω |
0.83903148130706 |
Real period |
R |
0.50404411873073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27830u1 |
Quadratic twists by: -11 |