Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fw |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
141134400000000 = 212 · 36 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20633,-994137] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:264:1] |
Generators of the group modulo torsion |
j |
15179306176/2205225 |
j-invariant |
L |
7.6719288769082 |
L(r)(E,1)/r! |
Ω |
0.40220617233124 |
Real period |
R |
1.589551454924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800eq2 26400bh1 10560br2 |
Quadratic twists by: -4 8 5 |