Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
68276a |
Isogeny class |
Conductor |
68276 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-274189935788288 = -1 · 28 · 139 · 101 |
Discriminant |
Eigenvalues |
2- 1 0 -2 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8732,-729260] |
[a1,a2,a3,a4,a6] |
j |
59582000/221897 |
j-invariant |
L |
1.1180630858283 |
L(r)(E,1)/r! |
Ω |
0.27951577132013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5252b1 |
Quadratic twists by: 13 |