Atkin-Lehner |
5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5915g |
Isogeny class |
Conductor |
5915 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-181146875 = -1 · 55 · 73 · 132 |
Discriminant |
Eigenvalues |
1 1 5- 7+ 4 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-368,-2819] |
[a1,a2,a3,a4,a6] |
j |
-32485001809/1071875 |
j-invariant |
L |
2.7206751410232 |
L(r)(E,1)/r! |
Ω |
0.54413502820464 |
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 |
94640da1 53235j1 29575j1 41405e1 |
Quadratic twists by: -4 -3 5 -7 |