Atkin-Lehner |
2+ 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200q |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
-228675072000 = -1 · 212 · 3 · 53 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -6 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,-23003] |
[a1,a2,a3,a4,a6] |
j |
-512/446631 |
j-invariant |
L |
1.8184961203496 |
L(r)(E,1)/r! |
Ω |
0.45462440864065 |
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 |
127200bm1 127200dx1 |
Quadratic twists by: -4 5 |