Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968bn |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-8502272 = -1 · 210 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -1 4 2 -6 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-361,-2527] |
[a1,a2,a3,a4,a6] |
Generators |
[3268:21185:64] |
Generators of the group modulo torsion |
j |
-5095042816/8303 |
j-invariant |
L |
5.9374632036285 |
L(r)(E,1)/r! |
Ω |
0.54745714937484 |
Real period |
R |
5.4227652432786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968j1 6992v1 |
Quadratic twists by: -4 8 |