Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298u |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
2802276 = 22 · 36 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41,69] |
[a1,a2,a3,a4,a6] |
j |
10633/4 |
j-invariant |
L |
4.6536036940909 |
L(r)(E,1)/r! |
Ω |
2.3268018470455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922b1 17298p1 |
Quadratic twists by: -3 -31 |