Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545v |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-5315614178875875 = -1 · 314 · 53 · 75 · 232 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -4 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-44290,-5032331] |
[a1,a2,a3,a4,a6] |
j |
-18163305455448064/10048419997875 |
j-invariant |
L |
6.7377027366312 |
L(r)(E,1)/r! |
Ω |
0.16042149376107 |
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 |
55545n1 |
Quadratic twists by: -23 |