Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190x |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
608662978560 = 218 · 36 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10764,-425520] |
[a1,a2,a3,a4,a6] |
Generators |
[-498:411:8] |
Generators of the group modulo torsion |
j |
189208196468929/834928640 |
j-invariant |
L |
3.5538809665569 |
L(r)(E,1)/r! |
Ω |
0.46883448618695 |
Real period |
R |
3.7901232431308 |
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 |
65520dq1 910j1 40950dl1 57330s1 |
Quadratic twists by: -4 -3 5 -7 |