Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938a |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-769318 = -1 · 2 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 2 0 4 11+ -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
2125/2 |
j-invariant |
L |
7.713203186038 |
L(r)(E,1)/r! |
Ω |
1.551811331825 |
Real period |
R |
2.4852258221713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938j1 69938b1 |
Quadratic twists by: -11 17 |