Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760u |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-505856000 = -1 · 214 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 3 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-1100] |
[a1,a2,a3,a4,a6] |
Generators |
[30:160:1] |
Generators of the group modulo torsion |
j |
-1771561/123500 |
j-invariant |
L |
7.1204898239265 |
L(r)(E,1)/r! |
Ω |
0.72820773514177 |
Real period |
R |
0.81484186909709 |
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 |
2470c1 79040br1 98800bw1 |
Quadratic twists by: -4 8 5 |