Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cz |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-557568000000 = -1 · 215 · 32 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-35937] |
[a1,a2,a3,a4,a6] |
Generators |
[87:792:1] |
Generators of the group modulo torsion |
j |
-8/1089 |
j-invariant |
L |
8.7258066647994 |
L(r)(E,1)/r! |
Ω |
0.42146884948756 |
Real period |
R |
2.5879156535982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800m2 26400be2 2112i2 |
Quadratic twists by: -4 8 5 |