Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24128a |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2410323116032 = -1 · 218 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3316,-13328] |
[a1,a2,a3,a4,a6] |
Generators |
[35872465:-378407667:614125] |
Generators of the group modulo torsion |
j |
15382515303/9194653 |
j-invariant |
L |
6.4065375803969 |
L(r)(E,1)/r! |
Ω |
0.47600430659029 |
Real period |
R |
13.458990794197 |
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 |
24128m3 377a4 |
Quadratic twists by: -4 8 |