Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124k |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
388608 |
Modular degree for the optimal curve |
Δ |
-13288247962433136 = -1 · 24 · 317 · 7 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9591,-5534359] |
[a1,a2,a3,a4,a6] |
Generators |
[217:2601:1] |
Generators of the group modulo torsion |
j |
8365037151488/1139253083199 |
j-invariant |
L |
3.279442011611 |
L(r)(E,1)/r! |
Ω |
0.18828238168764 |
Real period |
R |
1.4514732172451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15708b1 |
Quadratic twists by: -3 |