Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720u |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2152640000 = 29 · 54 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46656,3894500] |
[a1,a2,a3,a4,a6] |
j |
21937420828721672/4204375 |
j-invariant |
L |
2.3136175037345 |
L(r)(E,1)/r! |
Ω |
1.1568087518639 |
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 |
34720c2 69440cb2 |
Quadratic twists by: -4 8 |