Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560da |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
446520000 = 26 · 3 · 54 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2520,-47850] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3050:1] [490:1235:8] |
Generators of the group modulo torsion |
j |
27664172766784/6976875 |
j-invariant |
L |
8.7259835344756 |
L(r)(E,1)/r! |
Ω |
0.67381648463916 |
Real period |
R |
6.4750445658446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560eb1 29280w2 |
Quadratic twists by: -4 8 |