Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298s |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1200898566144 = -1 · 211 · 39 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -1 -5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-878,53885] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:49:1] [-23:259:1] |
Generators of the group modulo torsion |
j |
-3442951/55296 |
j-invariant |
L |
8.7701775787907 |
L(r)(E,1)/r! |
Ω |
0.73044373436306 |
Real period |
R |
0.13643913166947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5766d1 17298r1 |
Quadratic twists by: -3 -31 |