Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760z |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-519782365440 = -1 · 28 · 310 · 5 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1516,-40964] |
[a1,a2,a3,a4,a6] |
Generators |
[104405154:-3916387817:74088] |
Generators of the group modulo torsion |
j |
-1506148498384/2030399865 |
j-invariant |
L |
5.3728632652725 |
L(r)(E,1)/r! |
Ω |
0.36441875441333 |
Real period |
R |
14.743651913797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940e2 |
Quadratic twists by: -4 |