Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325u |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
18418640625 = 37 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7655,-255778] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:33:1] |
Generators of the group modulo torsion |
j |
4354703137/1617 |
j-invariant |
L |
2.7611195492184 |
L(r)(E,1)/r! |
Ω |
0.5104196276695 |
Real period |
R |
2.7047544799807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775n1 693d1 121275eq1 |
Quadratic twists by: -3 5 -7 |