Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bj |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-29569843200 = -1 · 223 · 3 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14528,678912] |
[a1,a2,a3,a4,a6] |
j |
-3311853689065/288768 |
j-invariant |
L |
2.2500189925592 |
L(r)(E,1)/r! |
Ω |
1.1250094954206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050bf1 56400dg1 |
Quadratic twists by: -4 5 |