Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9360r |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3153945600 = 210 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387,-1134] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:36:1] |
Generators of the group modulo torsion |
j |
8586756/4225 |
j-invariant |
L |
4.5517147801095 |
L(r)(E,1)/r! |
Ω |
1.1317846683787 |
Real period |
R |
1.0054286180228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4680s2 37440ee2 1040a2 46800bc2 |
Quadratic twists by: -4 8 -3 5 |