Atkin-Lehner |
3+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981c |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-82199403 = -1 · 32 · 11 · 132 · 173 |
Discriminant |
Eigenvalues |
-2 3+ -2 -3 11+ 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6,434] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-111:1] [-54:47:8] |
Generators of the group modulo torsion |
j |
4096/16731 |
j-invariant |
L |
3.8180944189596 |
L(r)(E,1)/r! |
Ω |
1.5120610981583 |
Real period |
R |
0.31563658494851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000023337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123981u1 |
Quadratic twists by: 17 |