Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080a |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
38714880 = 29 · 3 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136,580] |
[a1,a2,a3,a4,a6] |
Generators |
[9:2:1] |
Generators of the group modulo torsion |
j |
547343432/75615 |
j-invariant |
L |
4.4038195725619 |
L(r)(E,1)/r! |
Ω |
1.9689177909948 |
Real period |
R |
2.2366701102016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080bd2 68160bg2 102240bo2 |
Quadratic twists by: -4 8 -3 |