Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360hc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
-194724601344000000 = -1 · 215 · 38 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160865,32618463] |
[a1,a2,a3,a4,a6] |
Generators |
[1471:-54600:1] |
Generators of the group modulo torsion |
j |
-14049509645755592/5942523234375 |
j-invariant |
L |
10.068593449909 |
L(r)(E,1)/r! |
Ω |
0.29818005305308 |
Real period |
R |
0.11724591766802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ey2 43680c2 |
Quadratic twists by: -4 8 |