Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420r |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
979661437920000 = 28 · 33 · 54 · 112 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84980,-9443772] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:330:1] |
Generators of the group modulo torsion |
j |
265117891804153936/3826802491875 |
j-invariant |
L |
7.64007753936 |
L(r)(E,1)/r! |
Ω |
0.27986562391261 |
Real period |
R |
0.75830812347143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680bm2 73260i2 122100k2 |
Quadratic twists by: -4 -3 5 |