Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545u |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
108744591935828625 = 3 · 53 · 7 · 2310 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122210,-4332525] |
[a1,a2,a3,a4,a6] |
j |
1363569097969/734582625 |
j-invariant |
L |
0.81568977125121 |
L(r)(E,1)/r! |
Ω |
0.27189658986335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2415f1 |
Quadratic twists by: -23 |