Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376x |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
410549855698944 = 214 · 314 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108849,-13824369] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:156:1] |
Generators of the group modulo torsion |
j |
8705246901469648/25057974591 |
j-invariant |
L |
5.7158833321046 |
L(r)(E,1)/r! |
Ω |
0.26288648229267 |
Real period |
R |
1.5530558187339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376bh2 4836a2 |
Quadratic twists by: -4 8 |