Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bp |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
284274940815360000 = 214 · 38 · 54 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1388816,-628977984] |
[a1,a2,a3,a4,a6] |
j |
72326626749631816849/69403061722500 |
j-invariant |
L |
1.1126366398923 |
L(r)(E,1)/r! |
Ω |
0.13907957996424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610bg2 |
Quadratic twists by: -4 |