Atkin-Lehner |
3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
80223q |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-131882106916989 = -1 · 310 · 112 · 13 · 175 |
Discriminant |
Eigenvalues |
-1 3- 3 2 11- 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8671,-456114] |
[a1,a2,a3,a4,a6] |
Generators |
[55:406:1] |
Generators of the group modulo torsion |
j |
595857993887783/1089934767909 |
j-invariant |
L |
7.1873975449806 |
L(r)(E,1)/r! |
Ω |
0.30620227829285 |
Real period |
R |
0.46945421744705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80223k1 |
Quadratic twists by: -11 |