Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4440b |
Isogeny class |
Conductor |
4440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
30689280 = 211 · 34 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7896,-267444] |
[a1,a2,a3,a4,a6] |
j |
26587051663538/14985 |
j-invariant |
L |
1.0129154529065 |
L(r)(E,1)/r! |
Ω |
0.50645772645323 |
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 |
8880g4 35520bd4 13320p4 22200q4 |
Quadratic twists by: -4 8 -3 5 |