Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
35784k |
Isogeny class |
Conductor |
35784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-22538767104 = -1 · 28 · 311 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,-7166] |
[a1,a2,a3,a4,a6] |
Generators |
[47:324:1] |
Generators of the group modulo torsion |
j |
3286064/120771 |
j-invariant |
L |
4.3172231349042 |
L(r)(E,1)/r! |
Ω |
0.57935574093483 |
Real period |
R |
0.931470690171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568n1 11928j1 |
Quadratic twists by: -4 -3 |