Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cj |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-8137125715207946184 = -1 · 23 · 39 · 77 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,111621,-136444911] |
[a1,a2,a3,a4,a6] |
Generators |
[8637:798938:1] |
Generators of the group modulo torsion |
j |
270840023/14329224 |
j-invariant |
L |
9.7454709918787 |
L(r)(E,1)/r! |
Ω |
0.11155125585807 |
Real period |
R |
3.6401319573051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098x1 3822f1 |
Quadratic twists by: -7 13 |