Atkin-Lehner |
5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28435g |
Isogeny class |
Conductor |
28435 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
36432 |
Modular degree for the optimal curve |
Δ |
-1259358425875 = -1 · 53 · 118 · 47 |
Discriminant |
Eigenvalues |
0 -2 5- -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1775,-45094] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1722:1] |
Generators of the group modulo torsion |
j |
2883584/5875 |
j-invariant |
L |
1.8125574704952 |
L(r)(E,1)/r! |
Ω |
0.44878895059985 |
Real period |
R |
4.0387747248958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28435f1 |
Quadratic twists by: -11 |