Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080y |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-25560000 = -1 · 26 · 32 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26,-240] |
[a1,a2,a3,a4,a6] |
Generators |
[10:20:1] |
Generators of the group modulo torsion |
j |
-31554496/399375 |
j-invariant |
L |
4.1728098026575 |
L(r)(E,1)/r! |
Ω |
0.90465962419771 |
Real period |
R |
2.3062871885976 |
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 |
34080r1 68160bn1 102240o1 |
Quadratic twists by: -4 8 -3 |