Atkin-Lehner |
2- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656ba |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-99289387578687488 = -1 · 219 · 79 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55713,-16001569] |
[a1,a2,a3,a4,a6] |
Generators |
[56555:898016:125] |
Generators of the group modulo torsion |
j |
-72956034411625/378758955302 |
j-invariant |
L |
6.6628668260454 |
L(r)(E,1)/r! |
Ω |
0.14001045526396 |
Real period |
R |
5.948543994843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656o1 27664k1 |
Quadratic twists by: -4 8 |