Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960o |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
155867040000 = 28 · 32 · 54 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1436,8364] |
[a1,a2,a3,a4,a6] |
j |
1280116410064/608855625 |
j-invariant |
L |
1.8285570419083 |
L(r)(E,1)/r! |
Ω |
0.91427853185444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480d2 |
Quadratic twists by: -4 |