Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17028s |
Isogeny class |
Conductor |
17028 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-108592528176 = -1 · 24 · 315 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1176,3229] |
[a1,a2,a3,a4,a6] |
Generators |
[34:729:8] |
Generators of the group modulo torsion |
j |
15420489728/9310059 |
j-invariant |
L |
3.7482879134379 |
L(r)(E,1)/r! |
Ω |
0.64847354168448 |
Real period |
R |
1.4450427320833 |
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 |
68112bo1 5676f1 |
Quadratic twists by: -4 -3 |