Atkin-Lehner |
2- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10064d |
Isogeny class |
Conductor |
10064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
6247298367488 = 228 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 2 2 -2 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6392,157808] |
[a1,a2,a3,a4,a6] |
Generators |
[-2418:1702:27] |
Generators of the group modulo torsion |
j |
7052482298233/1525219328 |
j-invariant |
L |
6.5429184183661 |
L(r)(E,1)/r! |
Ω |
0.71181803826774 |
Real period |
R |
4.5959206332342 |
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 |
1258b1 40256bc1 90576bf1 |
Quadratic twists by: -4 8 -3 |