Atkin-Lehner |
11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76219c |
Isogeny class |
Conductor |
76219 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-44515241175691 = -1 · 113 · 138 · 41 |
Discriminant |
Eigenvalues |
0 0 1 0 11+ 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8788,-49982] |
[a1,a2,a3,a4,a6] |
j |
92012544/54571 |
j-invariant |
L |
1.4977653121295 |
L(r)(E,1)/r! |
Ω |
0.37444132551298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76219d1 |
Quadratic twists by: 13 |