Atkin-Lehner |
2+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18656a |
Isogeny class |
Conductor |
18656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-998637455028224 = -1 · 212 · 11 · 536 |
Discriminant |
Eigenvalues |
2+ -1 3 -2 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132349,18638741] |
[a1,a2,a3,a4,a6] |
Generators |
[-2580:148877:27] |
Generators of the group modulo torsion |
j |
-62593471440174592/243807972419 |
j-invariant |
L |
4.420114082359 |
L(r)(E,1)/r! |
Ω |
0.49620379277218 |
Real period |
R |
2.2269650830684 |
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 |
18656g1 37312p1 |
Quadratic twists by: -4 8 |