Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23595f |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4.0704327975311E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7662630,12680557902] |
[a1,a2,a3,a4,a6] |
Generators |
[402:98111:1] |
Generators of the group modulo torsion |
j |
-28086729490688202361/22976531982421875 |
j-invariant |
L |
1.7405784391625 |
L(r)(E,1)/r! |
Ω |
0.10511823303177 |
Real period |
R |
0.51744663751517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70785l3 117975bx3 2145d4 |
Quadratic twists by: -3 5 -11 |