Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248i |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-17844948125488 = -1 · 24 · 1110 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3146,214291] |
[a1,a2,a3,a4,a6] |
j |
-121485312/629563 |
j-invariant |
L |
0.59845282404418 |
L(r)(E,1)/r! |
Ω |
0.59845279006937 |
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 |
41624n1 7568a1 |
Quadratic twists by: -4 -11 |