Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104n |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-48452599808 = -1 · 227 · 192 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 -3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5953,175135] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:512:1] [42:31:1] |
Generators of the group modulo torsion |
j |
-246579625/512 |
j-invariant |
L |
8.0034460535217 |
L(r)(E,1)/r! |
Ω |
1.1318692116379 |
Real period |
R |
1.7677497477691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104bv2 722f2 23104c2 |
Quadratic twists by: -4 8 -19 |