Atkin-Lehner |
5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12775d |
Isogeny class |
Conductor |
12775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-72857421875 = -1 · 59 · 7 · 732 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ -1 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-110908,-14253531] |
[a1,a2,a3,a4,a6] |
j |
-9655977011728384/4662875 |
j-invariant |
L |
4.1858000611658 |
L(r)(E,1)/r! |
Ω |
0.13080625191143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975w1 2555d1 89425q1 |
Quadratic twists by: -3 5 -7 |