Atkin-Lehner |
2+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17050b |
Isogeny class |
Conductor |
17050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-2728000000 = -1 · 29 · 56 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 11+ 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-825,9125] |
[a1,a2,a3,a4,a6] |
j |
-3981876625/174592 |
j-invariant |
L |
2.8466668772534 |
L(r)(E,1)/r! |
Ω |
1.4233334386267 |
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 |
682a1 |
Quadratic twists by: 5 |