Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656bs |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-10109735850253312 = -1 · 210 · 72 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-730737,240723017] |
[a1,a2,a3,a4,a6] |
Generators |
[608:4563:1] |
Generators of the group modulo torsion |
j |
-42141272308261088512/9872788916263 |
j-invariant |
L |
12.774125409552 |
L(r)(E,1)/r! |
Ω |
0.39675734409744 |
Real period |
R |
1.7886843023197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656i1 27664e1 |
Quadratic twists by: -4 8 |