Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080bb |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-639000000 = -1 · 26 · 32 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,130,1032] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:30:1] [2:36:1] |
Generators of the group modulo torsion |
j |
3767287616/9984375 |
j-invariant |
L |
7.3563765142728 |
L(r)(E,1)/r! |
Ω |
1.1357905239585 |
Real period |
R |
1.0794796456883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080bh1 68160cz1 102240g1 |
Quadratic twists by: -4 8 -3 |