Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545n |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
12055680 |
Modular degree for the optimal curve |
Δ |
-7.869016705509E+23 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 4 -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23429586,61040931995] |
[a1,a2,a3,a4,a6] |
j |
-18163305455448064/10048419997875 |
j-invariant |
L |
5.8241306762499 |
L(r)(E,1)/r! |
Ω |
0.083201866801522 |
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 |
55545v1 |
Quadratic twists by: -23 |