Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336i |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10809580833792 = 210 · 37 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97851,11780314] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:3042:1] [26:3042:1] |
Generators of the group modulo torsion |
j |
28756228/3 |
j-invariant |
L |
7.0371267438164 |
L(r)(E,1)/r! |
Ω |
0.6906377385718 |
Real period |
R |
1.2736646056964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12168q3 97344fb4 8112k3 144b4 |
Quadratic twists by: -4 8 -3 13 |