Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040u |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
53343360000 = 210 · 35 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2501,47685] |
[a1,a2,a3,a4,a6] |
j |
4927700992/151875 |
j-invariant |
L |
2.2312619784682 |
L(r)(E,1)/r! |
Ω |
1.1156309893385 |
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 |
47040gn1 2940l1 47040dq1 |
Quadratic twists by: -4 8 -7 |