Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775f |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-9258739013671875 = -1 · 35 · 513 · 74 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 5 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6533,-4631782] |
[a1,a2,a3,a4,a6] |
j |
-822083584/246796875 |
j-invariant |
L |
1.1015112270916 |
L(r)(E,1)/r! |
Ω |
0.18358520443586 |
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 |
9555o1 47775cc1 |
Quadratic twists by: 5 -7 |