Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13706l |
Isogeny class |
Conductor |
13706 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
-1046108585984 = -1 · 214 · 72 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11- 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-636,-49648] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2372:1] |
Generators of the group modulo torsion |
j |
-28453633725889/1046108585984 |
j-invariant |
L |
8.2877031878635 |
L(r)(E,1)/r! |
Ω |
0.3816932768237 |
Real period |
R |
0.19386600284766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109648i1 123354r1 95942ba1 |
Quadratic twists by: -4 -3 -7 |