Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150i |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-123860867200 = -1 · 27 · 52 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38245,-2894835] |
[a1,a2,a3,a4,a6] |
j |
-2103474260785/42112 |
j-invariant |
L |
2.7311387347895 |
L(r)(E,1)/r! |
Ω |
0.17069621548065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cy1 16450f1 |
Quadratic twists by: 5 -7 |