Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3760c |
Isogeny class |
Conductor |
3760 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-37600000 = -1 · 28 · 55 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,-475] |
[a1,a2,a3,a4,a6] |
j |
-504871936/146875 |
j-invariant |
L |
3.6704620249923 |
L(r)(E,1)/r! |
Ω |
0.73409240499845 |
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 |
1880b1 15040z1 33840h1 18800f1 |
Quadratic twists by: -4 8 -3 5 |