Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17298o |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-20940668747136 = -1 · 27 · 311 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -3 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4144,-195789] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1065:1] |
Generators of the group modulo torsion |
j |
11692487/31104 |
j-invariant |
L |
6.0265181520812 |
L(r)(E,1)/r! |
Ω |
0.35086607260427 |
Real period |
R |
0.40895526422795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5766a1 17298t1 |
Quadratic twists by: -3 -31 |