Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9120j |
Isogeny class |
Conductor |
9120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3002595840 = -1 · 29 · 32 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,360,360] |
[a1,a2,a3,a4,a6] |
j |
10049728312/5864445 |
j-invariant |
L |
3.4449725079006 |
L(r)(E,1)/r! |
Ω |
0.86124312697514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9120n4 18240b4 27360x2 45600bb2 |
Quadratic twists by: -4 8 -3 5 |