Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080z |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1742169600 = 29 · 33 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7176,236376] |
[a1,a2,a3,a4,a6] |
Generators |
[53:46:1] |
Generators of the group modulo torsion |
j |
79829160151112/3402675 |
j-invariant |
L |
3.9709571704994 |
L(r)(E,1)/r! |
Ω |
1.4010305661013 |
Real period |
R |
2.8343115893251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080o2 68160bq2 102240p2 |
Quadratic twists by: -4 8 -3 |