Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280ce |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1165900146278400 = 220 · 36 · 52 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32960,-1625292] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:798:1] |
Generators of the group modulo torsion |
j |
966804247131841/284643590400 |
j-invariant |
L |
8.8541099242416 |
L(r)(E,1)/r! |
Ω |
0.36234110501649 |
Real period |
R |
2.0363201510377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7410r2 |
Quadratic twists by: -4 |