Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080u |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5226508800 = 29 · 34 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21576,-1227060] |
[a1,a2,a3,a4,a6] |
Generators |
[171:336:1] |
Generators of the group modulo torsion |
j |
2169635008739912/10208025 |
j-invariant |
L |
7.4399406072739 |
L(r)(E,1)/r! |
Ω |
0.39391749232706 |
Real period |
R |
4.7217632830435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080d2 68160cw2 102240bk2 |
Quadratic twists by: -4 8 -3 |