Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520r |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
23184210156800 = 28 · 52 · 7 · 11 · 196 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7980,144400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:380:1] |
Generators of the group modulo torsion |
j |
219556774825936/90563320925 |
j-invariant |
L |
4.3416535668732 |
L(r)(E,1)/r! |
Ω |
0.61206181043031 |
Real period |
R |
0.59112406252507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040r2 |
Quadratic twists by: -4 |