Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380n |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7973740764000000 = 28 · 312 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112863,-13947338] |
[a1,a2,a3,a4,a6] |
Generators |
[-12796:50625:64] |
Generators of the group modulo torsion |
j |
851943882144976/42726234375 |
j-invariant |
L |
4.7524126389069 |
L(r)(E,1)/r! |
Ω |
0.26128355309738 |
Real period |
R |
4.5471792832527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460n2 |
Quadratic twists by: -3 |