Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190c |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-345190809600 = -1 · 214 · 33 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1311,21245] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:79:1] |
Generators of the group modulo torsion |
j |
9225324907317/12784844800 |
j-invariant |
L |
3.3579660944129 |
L(r)(E,1)/r! |
Ω |
0.64830835081645 |
Real period |
R |
1.2948954344734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cj1 8190ba1 40950dc1 57330a1 |
Quadratic twists by: -4 -3 5 -7 |