Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416en |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-34780741632 = -1 · 219 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9021900,-10430259824] |
[a1,a2,a3,a4,a6] |
Generators |
[4413546106351765764150:-97089509512651855034336:1195318941560171875] |
Generators of the group modulo torsion |
j |
-424962187484640625/182 |
j-invariant |
L |
5.9403514464951 |
L(r)(E,1)/r! |
Ω |
0.043555705909253 |
Real period |
R |
34.09628728594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416cj3 13104bv3 5824p3 |
Quadratic twists by: -4 8 -3 |