Atkin-Lehner |
2- 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330p |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-16826208000 = -1 · 28 · 3 · 53 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,309,6009] |
[a1,a2,a3,a4,a6] |
j |
3262205418191/16826208000 |
j-invariant |
L |
3.5541808955047 |
L(r)(E,1)/r! |
Ω |
0.88854522387617 |
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 |
122640cl1 45990y1 76650bi1 107310dr1 |
Quadratic twists by: -4 -3 5 -7 |