Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938n |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-22527169676 = -1 · 22 · 117 · 172 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1757,-29985] |
[a1,a2,a3,a4,a6] |
Generators |
[774:6385:8] |
Generators of the group modulo torsion |
j |
-1171657/44 |
j-invariant |
L |
5.5750014612186 |
L(r)(E,1)/r! |
Ω |
0.36789106047195 |
Real period |
R |
3.7884866344986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358e1 69938t1 |
Quadratic twists by: -11 17 |