Atkin-Lehner |
2- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
30544o |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
7819264 = 212 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 0 -3 2 4 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3:1] |
Generators of the group modulo torsion |
j |
7077888/1909 |
j-invariant |
L |
4.4597137692806 |
L(r)(E,1)/r! |
Ω |
1.72200141173 |
Real period |
R |
2.5898432712666 |
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 |
1909a1 122176y1 |
Quadratic twists by: -4 8 |