Atkin-Lehner |
5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69575f |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17160 |
Modular degree for the optimal curve |
Δ |
1018647575 = 52 · 116 · 23 |
Discriminant |
Eigenvalues |
-1 0 5+ 1 11- 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-265,-558] |
[a1,a2,a3,a4,a6] |
j |
46305/23 |
j-invariant |
L |
1.2458262816027 |
L(r)(E,1)/r! |
Ω |
1.2458262828677 |
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 |
69575ba1 575a1 |
Quadratic twists by: 5 -11 |