Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560n |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
32149440 = 26 · 33 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,-990] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:21:8] [266:1339:8] |
Generators of the group modulo torsion |
j |
13893235264/502335 |
j-invariant |
L |
8.8380024063181 |
L(r)(E,1)/r! |
Ω |
1.2718202908144 |
Real period |
R |
13.898193746633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bo1 29280m2 |
Quadratic twists by: -4 8 |