Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760r |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-517996544000000000 = -1 · 230 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,190744,13010800] |
[a1,a2,a3,a4,a6] |
Generators |
[-620:434176:125] |
Generators of the group modulo torsion |
j |
187376078091802391/126464000000000 |
j-invariant |
L |
3.598539429554 |
L(r)(E,1)/r! |
Ω |
0.18457456787466 |
Real period |
R |
4.8740997622134 |
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 |
2470b3 79040bw3 98800bh3 |
Quadratic twists by: -4 8 5 |