Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475m |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5.1047801971436E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3058251,2029373023] |
[a1,a2,a3,a4,a6] |
Generators |
[3201555326398:144489353176899:1105507304] |
Generators of the group modulo torsion |
j |
202452368150178076321/3267059326171875 |
j-invariant |
L |
7.849258501406 |
L(r)(E,1)/r! |
Ω |
0.20046847030607 |
Real period |
R |
13.051526239898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895d4 |
Quadratic twists by: 5 |