Atkin-Lehner |
2- 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330p |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
587522250000 = 24 · 32 · 56 · 72 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3611,73433] |
[a1,a2,a3,a4,a6] |
j |
5207313135690289/587522250000 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
122640cl2 45990y2 76650bi2 107310dr2 |
Quadratic twists by: -4 -3 5 -7 |