Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568ce |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-19400578434072576 = -1 · 225 · 36 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -4 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144147,22105042] |
[a1,a2,a3,a4,a6] |
Generators |
[441:6656:1] |
Generators of the group modulo torsion |
j |
-110931033861649/6497214464 |
j-invariant |
L |
6.9253495714571 |
L(r)(E,1)/r! |
Ω |
0.38037310458054 |
Real period |
R |
0.75861365766712 |
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 |
4446g1 3952j1 |
Quadratic twists by: -4 -3 |