Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440by |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5510758400 = 215 · 52 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7425,-243775] |
[a1,a2,a3,a4,a6] |
j |
1381725080072/168175 |
j-invariant |
L |
4.1144683225604 |
L(r)(E,1)/r! |
Ω |
0.51430854250317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bj2 34720w2 |
Quadratic twists by: -4 8 |