Atkin-Lehner |
2- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656r |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
83808 |
Modular degree for the optimal curve |
Δ |
-14023181744 = -1 · 24 · 113 · 13 · 373 |
Discriminant |
Eigenvalues |
2- -1 3 4 11+ 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1409,21616] |
[a1,a2,a3,a4,a6] |
j |
-19348393050112/876448859 |
j-invariant |
L |
3.7235525060416 |
L(r)(E,1)/r! |
Ω |
1.2411841515182 |
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 |
21164c1 |
Quadratic twists by: -4 |