Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056p |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.3245452405161E+27 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,332311101,-1503018324542] |
[a1,a2,a3,a4,a6] |
Generators |
[225064818549782036146612308067098125563107552954215:39593162655422266988069227065169810990498820400952434:13968321822440696132605659141132615329031474625] |
Generators of the group modulo torsion |
j |
1359160622839941451020863/1113383474431250961168 |
j-invariant |
L |
6.9805491810897 |
L(r)(E,1)/r! |
Ω |
0.024747551598008 |
Real period |
R |
70.5175738033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14382b6 38352x5 |
Quadratic twists by: -4 -3 |