Atkin-Lehner |
3- 13+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
83421h |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
125007794248311 = 39 · 13 · 232 · 314 |
Discriminant |
Eigenvalues |
-1 3- 2 4 -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12704,-116652] |
[a1,a2,a3,a4,a6] |
j |
311018046766777/171478455759 |
j-invariant |
L |
1.9248278654277 |
L(r)(E,1)/r! |
Ω |
0.48120698806183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27807a2 |
Quadratic twists by: -3 |