Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3760b |
Isogeny class |
Conductor |
3760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
150400000 = 210 · 55 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-883,10082] |
[a1,a2,a3,a4,a6] |
j |
74354261796/146875 |
j-invariant |
L |
3.661717598769 |
L(r)(E,1)/r! |
Ω |
1.8308587993845 |
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 |
1880a1 15040bn1 33840m1 18800b1 |
Quadratic twists by: -4 8 -3 5 |