Atkin-Lehner |
2+ 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
83304m |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-52469524224 = -1 · 28 · 311 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 3 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,-11702] |
[a1,a2,a3,a4,a6] |
j |
-61918288/281151 |
j-invariant |
L |
3.7182005099774 |
L(r)(E,1)/r! |
Ω |
0.4647750701379 |
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 |
27768m1 |
Quadratic twists by: -3 |