Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440i |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7627808102400 = 211 · 311 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93747,11047214] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:4698:1] |
Generators of the group modulo torsion |
j |
61029297062498/5109075 |
j-invariant |
L |
5.1091097498591 |
L(r)(E,1)/r! |
Ω |
0.70763251607373 |
Real period |
R |
1.8050010541513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20880v2 83520bi2 3480o2 52200bs2 |
Quadratic twists by: -4 8 -3 5 |