Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275q |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-23226486171875 = -1 · 57 · 77 · 192 |
Discriminant |
Eigenvalues |
2 3 5+ 7- -3 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-118825,15767281] |
[a1,a2,a3,a4,a6] |
j |
-100934332416/12635 |
j-invariant |
L |
10.407150005252 |
L(r)(E,1)/r! |
Ω |
0.65044687532829 |
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 |
4655h1 3325f1 |
Quadratic twists by: 5 -7 |