Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bb |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
49189539262500 = 22 · 39 · 55 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9263,64531] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:256:1] |
Generators of the group modulo torsion |
j |
4465226119563/2499087500 |
j-invariant |
L |
5.8936163681958 |
L(r)(E,1)/r! |
Ω |
0.54872910610221 |
Real period |
R |
2.6851210837256 |
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 |
65520ca1 8190d1 40950i1 57330dg1 |
Quadratic twists by: -4 -3 5 -7 |