Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712g |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17716566638068992 = 28 · 36 · 377 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257828,49895436] |
[a1,a2,a3,a4,a6] |
j |
2885794000/26973 |
j-invariant |
L |
4.6857292586534 |
L(r)(E,1)/r! |
Ω |
0.39047743778343 |
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 |
32856a2 1776c2 |
Quadratic twists by: -4 37 |