Atkin-Lehner |
2+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5278b |
Isogeny class |
Conductor |
5278 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6072 |
Modular degree for the optimal curve |
Δ |
-913389568 = -1 · 211 · 7 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 4 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1092,13520] |
[a1,a2,a3,a4,a6] |
j |
-144215816802121/913389568 |
j-invariant |
L |
1.5819760509766 |
L(r)(E,1)/r! |
Ω |
1.5819760509766 |
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 |
42224h1 47502bm1 36946k1 68614o1 |
Quadratic twists by: -4 -3 -7 13 |