Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400k |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
44012762640000000 = 210 · 310 · 57 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-372008,-86623488] |
[a1,a2,a3,a4,a6] |
j |
355845710666884/2750797665 |
j-invariant |
L |
2.320839235855 |
L(r)(E,1)/r! |
Ω |
0.19340327073805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200cx1 18480bj1 |
Quadratic twists by: -4 5 |