Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040j |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-76204800000000 = -1 · 214 · 35 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1381,420925] |
[a1,a2,a3,a4,a6] |
j |
-363080704/94921875 |
j-invariant |
L |
0.99669658271992 |
L(r)(E,1)/r! |
Ω |
0.49834829152861 |
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 |
47040fy1 5880bi1 47040cx1 |
Quadratic twists by: -4 8 -7 |