Atkin-Lehner |
3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4515f |
Isogeny class |
Conductor |
4515 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
11648 |
Modular degree for the optimal curve |
Δ |
2880005625 = 37 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-96009,-11458193] |
[a1,a2,a3,a4,a6] |
j |
97870779730288961929/2880005625 |
j-invariant |
L |
1.8985417448204 |
L(r)(E,1)/r! |
Ω |
0.27122024926006 |
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 |
72240bt1 13545j1 22575g1 31605h1 |
Quadratic twists by: -4 -3 5 -7 |