Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120ba |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11381830931865600 = 213 · 37 · 52 · 714 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130323,-17365678] |
[a1,a2,a3,a4,a6] |
Generators |
[-239:360:1] |
Generators of the group modulo torsion |
j |
81978400815121/3811752150 |
j-invariant |
L |
6.5374055559846 |
L(r)(E,1)/r! |
Ω |
0.25199575099978 |
Real period |
R |
1.6214076849718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390i4 17040q4 |
Quadratic twists by: -4 -3 |