Atkin-Lehner |
2- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600u |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32563520000000 = 212 · 57 · 112 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8008,23988] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:550:1] [-26:464:1] |
Generators of the group modulo torsion |
j |
887503681/508805 |
j-invariant |
L |
8.0276598738404 |
L(r)(E,1)/r! |
Ω |
0.56180500016369 |
Real period |
R |
0.89306564004923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7975c2 25520p2 |
Quadratic twists by: -4 5 |