Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19520u |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-63963136000 = -1 · 223 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 0 2 -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2252,42896] |
[a1,a2,a3,a4,a6] |
Generators |
[82:640:1] |
Generators of the group modulo torsion |
j |
-4818245769/244000 |
j-invariant |
L |
5.3949806960956 |
L(r)(E,1)/r! |
Ω |
1.0917625846329 |
Real period |
R |
0.41179440567274 |
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 |
19520i1 4880f1 97600br1 |
Quadratic twists by: -4 8 5 |