Atkin-Lehner |
2+ 3- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546g |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1632000 |
Modular degree for the optimal curve |
Δ |
-1596743029780512768 = -1 · 217 · 311 · 7 · 115 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-504918,151012084] |
[a1,a2,a3,a4,a6] |
j |
-19528065697768018273/2190319656763392 |
j-invariant |
L |
1.0393940158912 |
L(r)(E,1)/r! |
Ω |
0.25984847545512 |
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 |
28182n1 |
Quadratic twists by: -3 |