Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bc |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-143914537728 = -1 · 28 · 39 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,18252] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:26:1] [-3:135:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
7.1425725796896 |
L(r)(E,1)/r! |
Ω |
0.81979877502191 |
Real period |
R |
0.72604936696189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6084b2 97344du2 24336bc1 24336bb2 |
Quadratic twists by: -4 8 -3 13 |