Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880g |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3850564533614853120 = 210 · 34 · 5 · 113 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11527680,-15060579408] |
[a1,a2,a3,a4,a6] |
Generators |
[-244895:-67606:125] |
Generators of the group modulo torsion |
j |
165443431757918996551684/3760316927358255 |
j-invariant |
L |
3.5818502795091 |
L(r)(E,1)/r! |
Ω |
0.081934095876527 |
Real period |
R |
7.2860393490371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440w4 |
Quadratic twists by: -4 |