Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600bd |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-50847750000000000 = -1 · 210 · 38 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54075,-11879750] |
[a1,a2,a3,a4,a6] |
j |
-1499221444/4359375 |
j-invariant |
L |
4.6365694797861 |
L(r)(E,1)/r! |
Ω |
0.14489281507591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800x1 37200t1 22320f1 |
Quadratic twists by: -4 -3 5 |