Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248h |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7755264 |
Modular degree for the optimal curve |
Δ |
191972707397977088 = 210 · 119 · 433 |
Discriminant |
Eigenvalues |
2+ 2 4 4 11+ 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35271056,-80614370032] |
[a1,a2,a3,a4,a6] |
j |
2009763657953996/79507 |
j-invariant |
L |
9.2925776015299 |
L(r)(E,1)/r! |
Ω |
0.061950517569907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41624d1 83248d1 |
Quadratic twists by: -4 -11 |