Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gx |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-667069830000 = -1 · 24 · 34 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2042,-17513] |
[a1,a2,a3,a4,a6] |
j |
800000/567 |
j-invariant |
L |
2.047371587735 |
L(r)(E,1)/r! |
Ω |
0.51184289662649 |
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 |
14700bs1 58800id1 8400cs1 |
Quadratic twists by: -4 5 -7 |