Atkin-Lehner |
2- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
19580a |
Isogeny class |
Conductor |
19580 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
379590558050000 = 24 · 55 · 112 · 894 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30085,-1766358] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:90:1] |
Generators of the group modulo torsion |
j |
188221058943287296/23724409878125 |
j-invariant |
L |
6.6057882233625 |
L(r)(E,1)/r! |
Ω |
0.36550565107671 |
Real period |
R |
3.6146025123842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320bm1 97900a1 |
Quadratic twists by: -4 5 |