Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104bv |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
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 |
[220051:1038376:2197] |
Generators of the group modulo torsion |
j |
-246579625/512 |
j-invariant |
L |
5.1134225065655 |
L(r)(E,1)/r! |
Ω |
0.27172241990151 |
Real period |
R |
9.4092760332751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104n2 5776m2 23104ba2 |
Quadratic twists by: -4 8 -19 |