Atkin-Lehner |
2+ 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080i |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
43911384768000 = 29 · 33 · 53 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37680,-2784600] |
[a1,a2,a3,a4,a6] |
j |
11555745255423368/85764423375 |
j-invariant |
L |
2.0569154054562 |
L(r)(E,1)/r! |
Ω |
0.3428192342427 |
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 |
34080bi3 68160u4 102240bb3 |
Quadratic twists by: -4 8 -3 |