Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600i |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-440033148000000 = -1 · 28 · 314 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72708,-7589088] |
[a1,a2,a3,a4,a6] |
j |
-10627137250000/110008287 |
j-invariant |
L |
0.29055979336456 |
L(r)(E,1)/r! |
Ω |
0.14527989668245 |
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 |
13800u1 110400im1 82800v1 1104b1 |
Quadratic twists by: -4 8 -3 5 |