Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495a |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-2296387889775 = -1 · 38 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1714,-66886] |
[a1,a2,a3,a4,a6] |
j |
4733169839/19518975 |
j-invariant |
L |
0.82978729974941 |
L(r)(E,1)/r! |
Ω |
0.4148936498747 |
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 |
37485bt1 62475cf1 1785m1 |
Quadratic twists by: -3 5 -7 |