Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712l |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-162056255670452416 = -1 · 26 · 79 · 137 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79317,-21164521] |
[a1,a2,a3,a4,a6] |
Generators |
[8451970:2197732953:125] |
Generators of the group modulo torsion |
j |
-178643795968/524596891 |
j-invariant |
L |
5.8628089413532 |
L(r)(E,1)/r! |
Ω |
0.13160463759279 |
Real period |
R |
11.137162505763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712db3 1183a3 5824j3 |
Quadratic twists by: -4 8 13 |