Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938p |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1188096 |
Modular degree for the optimal curve |
Δ |
-117548097995874304 = -1 · 213 · 112 · 179 |
Discriminant |
Eigenvalues |
2- 2 -1 5 11- -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,86694,-13214233] |
[a1,a2,a3,a4,a6] |
Generators |
[2694:57605:8] |
Generators of the group modulo torsion |
j |
5021863/8192 |
j-invariant |
L |
15.611515881652 |
L(r)(E,1)/r! |
Ω |
0.17489658476434 |
Real period |
R |
3.4331311802321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938f1 69938r1 |
Quadratic twists by: -11 17 |