Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27234g |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
15801588218916 = 22 · 312 · 174 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10431,365337] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:438:1] |
Generators of the group modulo torsion |
j |
172185842321137/21675704004 |
j-invariant |
L |
5.1633159195779 |
L(r)(E,1)/r! |
Ω |
0.67301649881539 |
Real period |
R |
1.917975238596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078j1 |
Quadratic twists by: -3 |