Atkin-Lehner |
11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76219d |
Isogeny class |
Conductor |
76219 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-9222499 = -1 · 113 · 132 · 41 |
Discriminant |
Eigenvalues |
0 0 -1 0 11- 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,52,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] [674:6205:8] |
Generators of the group modulo torsion |
j |
92012544/54571 |
j-invariant |
L |
8.2710461290347 |
L(r)(E,1)/r! |
Ω |
1.3500673987897 |
Real period |
R |
2.0421316586071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76219c1 |
Quadratic twists by: 13 |