Atkin-Lehner |
3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
18675l |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-34891385185546875 = -1 · 316 · 510 · 83 |
Discriminant |
Eigenvalues |
1 3- 5+ -3 -3 4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-472617,125498916] |
[a1,a2,a3,a4,a6] |
Generators |
[-780:4764:1] |
Generators of the group modulo torsion |
j |
-1639927598425/4901067 |
j-invariant |
L |
4.7622057136962 |
L(r)(E,1)/r! |
Ω |
0.36863934313713 |
Real period |
R |
3.2295831972041 |
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 |
6225f1 18675p1 |
Quadratic twists by: -3 5 |