Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280p |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-304038630000 = -1 · 24 · 33 · 54 · 75 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1224,20385] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-175:1] |
Generators of the group modulo torsion |
j |
12664647862016/19002414375 |
j-invariant |
L |
4.9348375117895 |
L(r)(E,1)/r! |
Ω |
0.65864262752185 |
Real period |
R |
0.37462178316625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112560n1 |
Quadratic twists by: -4 |