Atkin-Lehner |
3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7161h |
Isogeny class |
Conductor |
7161 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
180960 |
Modular degree for the optimal curve |
Δ |
-1.5962965671404E+19 |
Discriminant |
Eigenvalues |
2 3- 1 7- 11- 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-383740,-213019697] |
[a1,a2,a3,a4,a6] |
j |
-6249367399308357062656/15962965671404085411 |
j-invariant |
L |
6.9619919257454 |
L(r)(E,1)/r! |
Ω |
0.089256306740326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576z1 21483l1 50127h1 78771n1 |
Quadratic twists by: -4 -3 -7 -11 |