Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184z |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-1527092543434752 = -1 · 212 · 39 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -1 0 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54864,5291568] |
[a1,a2,a3,a4,a6] |
Generators |
[5796:66069:64] |
Generators of the group modulo torsion |
j |
-226534772736/18941489 |
j-invariant |
L |
5.8680192191847 |
L(r)(E,1)/r! |
Ω |
0.46685925528893 |
Real period |
R |
6.2845698705845 |
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 |
1449a1 92736dc1 23184u1 |
Quadratic twists by: -4 8 -3 |