Atkin-Lehner |
3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4515f |
Isogeny class |
Conductor |
4515 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-241007008513014135 = -1 · 328 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43459,-23879263] |
[a1,a2,a3,a4,a6] |
j |
-9077129544198898729/241007008513014135 |
j-invariant |
L |
1.8985417448204 |
L(r)(E,1)/r! |
Ω |
0.13561012463003 |
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 |
72240bt3 13545j4 22575g3 31605h3 |
Quadratic twists by: -4 -3 5 -7 |