Atkin-Lehner |
13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116909g |
Isogeny class |
Conductor |
116909 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
61844861 = 13 · 17 · 234 |
Discriminant |
Eigenvalues |
2 -2 -1 3 3 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-176,759] |
[a1,a2,a3,a4,a6] |
Generators |
[74:19:8] |
Generators of the group modulo torsion |
j |
2166784/221 |
j-invariant |
L |
9.0618995253331 |
L(r)(E,1)/r! |
Ω |
1.9119050104236 |
Real period |
R |
1.5799075631565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999639349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116909k1 |
Quadratic twists by: -23 |