Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266o |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
77367312 = 24 · 38 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1256,17435] |
[a1,a2,a3,a4,a6] |
Generators |
[3:115:1] |
Generators of the group modulo torsion |
j |
300359170873/106128 |
j-invariant |
L |
6.3143108752134 |
L(r)(E,1)/r! |
Ω |
1.8962610983425 |
Real period |
R |
1.6649370913986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128ca1 4422f1 |
Quadratic twists by: -4 -3 |