Atkin-Lehner |
2- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111800q |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-3023072000 = -1 · 28 · 53 · 133 · 43 |
Discriminant |
Eigenvalues |
2- -3 5- -2 0 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55,2650] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-130:1] [-14:26:1] |
Generators of the group modulo torsion |
j |
-574992/94471 |
j-invariant |
L |
6.8086353353314 |
L(r)(E,1)/r! |
Ω |
1.1644111740011 |
Real period |
R |
0.24363656515247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111800j1 |
Quadratic twists by: 5 |