Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330dd |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-147509151507900 = -1 · 22 · 39 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13147,65881] |
[a1,a2,a3,a4,a6] |
j |
108531333/63700 |
j-invariant |
L |
1.4055004497402 |
L(r)(E,1)/r! |
Ω |
0.35137511223319 |
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 |
57330k1 8190be1 |
Quadratic twists by: -3 -7 |