Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080q |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
116144640 = 29 · 32 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -6 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456,3564] |
[a1,a2,a3,a4,a6] |
Generators |
[15:18:1] [27:108:1] |
Generators of the group modulo torsion |
j |
20525811272/226845 |
j-invariant |
L |
9.1359347225721 |
L(r)(E,1)/r! |
Ω |
1.8761646929495 |
Real period |
R |
4.8694737497747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080f2 68160cn2 102240bt2 |
Quadratic twists by: -4 8 -3 |