Atkin-Lehner |
2- 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
127534l |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
264384 |
Modular degree for the optimal curve |
Δ |
1558475172584 = 23 · 113 · 173 · 313 |
Discriminant |
Eigenvalues |
2- 2 -3 3 11+ 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4232,85537] |
[a1,a2,a3,a4,a6] |
Generators |
[83:519:1] |
Generators of the group modulo torsion |
j |
6297802653563/1170905464 |
j-invariant |
L |
14.297340775606 |
L(r)(E,1)/r! |
Ω |
0.80453576239499 |
Real period |
R |
0.98727333915847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534a1 |
Quadratic twists by: -11 |