Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080bf |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7824172008960 = -1 · 29 · 316 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1600,132840] |
[a1,a2,a3,a4,a6] |
j |
884183155192/15281585955 |
j-invariant |
L |
4.4077976201606 |
L(r)(E,1)/r! |
Ω |
0.55097470252116 |
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 |
34080ba2 68160bu3 102240h2 |
Quadratic twists by: -4 8 -3 |