Atkin-Lehner |
2+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116288o |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
10955259904 = 218 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ -1 1 3 0 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1505,-21407] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-736:1] |
Generators of the group modulo torsion |
j |
1439069689/41791 |
j-invariant |
L |
6.5229163651178 |
L(r)(E,1)/r! |
Ω |
0.76782529484362 |
Real period |
R |
1.0619141453542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288r1 1817a1 |
Quadratic twists by: -4 8 |