Atkin-Lehner |
5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
121495c |
Isogeny class |
Conductor |
121495 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
-592856843095 = -1 · 5 · 11 · 476 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1795,-23160] |
[a1,a2,a3,a4,a6] |
Generators |
[1113725039490348:-11183480737167710:15656896679913] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
6.2334168151325 |
L(r)(E,1)/r! |
Ω |
0.50214707393141 |
Real period |
R |
24.827055822244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55a4 |
Quadratic twists by: -47 |