Atkin-Lehner |
3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61275k |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-36326002921875 = -1 · 34 · 56 · 192 · 433 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -5 7 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,542,290119] |
[a1,a2,a3,a4,a6] |
j |
1124864000/2324864187 |
j-invariant |
L |
8.1679505597027 |
L(r)(E,1)/r! |
Ω |
0.51049691000638 |
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 |
2451d1 |
Quadratic twists by: 5 |