Atkin-Lehner |
2+ 3+ 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682b |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-392620522220784 = -1 · 24 · 33 · 112 · 133 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9219,-892683] |
[a1,a2,a3,a4,a6] |
Generators |
[82:599:1] [109:1128:1] |
Generators of the group modulo torsion |
j |
3209112144192501/14541500822992 |
j-invariant |
L |
9.4412402295268 |
L(r)(E,1)/r! |
Ω |
0.26945159814174 |
Real period |
R |
4.3798405234166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110682be1 |
Quadratic twists by: -3 |