Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23100be |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-1844766000 = -1 · 24 · 32 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-593,-6132] |
[a1,a2,a3,a4,a6] |
j |
-11550212096/922383 |
j-invariant |
L |
0.96292352048314 |
L(r)(E,1)/r! |
Ω |
0.48146176024159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400fu1 69300ck1 23100p1 |
Quadratic twists by: -4 -3 5 |