Atkin-Lehner |
2+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
49184a |
Isogeny class |
Conductor |
49184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-129129005109248 = -1 · 212 · 296 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 6 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32236,-2293824] |
[a1,a2,a3,a4,a6] |
j |
-904455502926912/31525636013 |
j-invariant |
L |
3.2001321522506 |
L(r)(E,1)/r! |
Ω |
0.17778511958145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49184b2 98368i1 |
Quadratic twists by: -4 8 |