Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8134g |
Isogeny class |
Conductor |
8134 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-520576 = -1 · 27 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 2 1 7- -4 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20,13] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
17999471/10624 |
j-invariant |
L |
8.5340129380905 |
L(r)(E,1)/r! |
Ω |
1.7839647539503 |
Real period |
R |
0.68339057862094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65072z1 73206s1 8134d1 |
Quadratic twists by: -4 -3 -7 |