Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880q |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-802697343750000 = -1 · 24 · 311 · 510 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16377,-1098803] |
[a1,a2,a3,a4,a6] |
Generators |
[33352:253125:512] |
Generators of the group modulo torsion |
j |
41646570900224/68818359375 |
j-invariant |
L |
5.9005401366745 |
L(r)(E,1)/r! |
Ω |
0.26481979124413 |
Real period |
R |
2.7851676554052 |
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 |
10440g1 83520fx1 6960r1 104400br1 |
Quadratic twists by: -4 8 -3 5 |