Atkin-Lehner |
2- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468g |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
20793024 |
Modular degree for the optimal curve |
Δ |
1322267147871488 = 28 · 78 · 13 · 413 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2048798453,35693460953527] |
[a1,a2,a3,a4,a6] |
Generators |
[4871658157446:1836668057071:186169411] |
Generators of the group modulo torsion |
j |
644461739977461661696000/895973 |
j-invariant |
L |
2.6826191665943 |
L(r)(E,1)/r! |
Ω |
0.1468475435498 |
Real period |
R |
18.268056119608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104468p1 |
Quadratic twists by: -7 |