Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bx |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-303933691293750000 = -1 · 24 · 310 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 1 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83708,28142787] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:6075:1] |
Generators of the group modulo torsion |
j |
-88218880/413343 |
j-invariant |
L |
4.3576290812059 |
L(r)(E,1)/r! |
Ω |
0.26642504442783 |
Real period |
R |
1.362994074151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400em1 58800cx1 8400bf1 |
Quadratic twists by: -4 5 -7 |