Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17680i |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
373490000 = 24 · 54 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12441,-529984] |
[a1,a2,a3,a4,a6] |
Generators |
[132883296:870053275:884736] |
Generators of the group modulo torsion |
j |
13310810713145344/23343125 |
j-invariant |
L |
7.5784308681553 |
L(r)(E,1)/r! |
Ω |
0.45204624792894 |
Real period |
R |
11.176483089029 |
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 |
4420a1 70720bj1 88400be1 |
Quadratic twists by: -4 8 5 |