Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938n |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-43612600492736 = -1 · 26 · 119 · 172 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8528,-91695] |
[a1,a2,a3,a4,a6] |
Generators |
[17:233:1] |
Generators of the group modulo torsion |
j |
133970183/85184 |
j-invariant |
L |
5.5750014612186 |
L(r)(E,1)/r! |
Ω |
0.36789106047195 |
Real period |
R |
1.2628288781662 |
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 |
6358e2 69938t2 |
Quadratic twists by: -11 17 |