Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18656g |
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 |
[397494364410:48458844320557:26730899] |
Generators of the group modulo torsion |
j |
-62593471440174592/243807972419 |
j-invariant |
L |
7.5407359032019 |
L(r)(E,1)/r! |
Ω |
0.12512320826903 |
Real period |
R |
15.06662114791 |
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 |
18656a1 37312j1 |
Quadratic twists by: -4 8 |