Atkin-Lehner |
2+ 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
61320n |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
48090717239040000 = 211 · 33 · 54 · 72 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100856,6343344] |
[a1,a2,a3,a4,a6] |
j |
55399173479372018/23481795526875 |
j-invariant |
L |
3.8764289044787 |
L(r)(E,1)/r! |
Ω |
0.32303574194655 |
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 |
122640d3 |
Quadratic twists by: -4 |