Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344ct |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
116064256 = 216 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 11+ -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,3871] |
[a1,a2,a3,a4,a6] |
Generators |
[15:16:1] |
Generators of the group modulo torsion |
j |
188183524/1771 |
j-invariant |
L |
5.0851035620235 |
L(r)(E,1)/r! |
Ω |
1.8774139424474 |
Real period |
R |
0.67714203179928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344bp1 28336f1 |
Quadratic twists by: -4 8 |