Atkin-Lehner |
2+ 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
44840a |
Isogeny class |
Conductor |
44840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7174400 = 28 · 52 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5980,-180000] |
[a1,a2,a3,a4,a6] |
j |
92397436297936/28025 |
j-invariant |
L |
2.1715918648411 |
L(r)(E,1)/r! |
Ω |
0.54289796620475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89680e2 |
Quadratic twists by: -4 |