Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360t |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2299226342400 = 210 · 312 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3747,49714] |
[a1,a2,a3,a4,a6] |
j |
7793764996/3080025 |
j-invariant |
L |
2.9797212877948 |
L(r)(E,1)/r! |
Ω |
0.74493032194871 |
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 |
4680t2 37440dt2 3120h2 46800o2 |
Quadratic twists by: -4 8 -3 5 |