Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460m |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
96272829300960000 = 28 · 38 · 54 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4402049583,112416616169782] |
[a1,a2,a3,a4,a6] |
Generators |
[-21337:14022450:1] |
Generators of the group modulo torsion |
j |
50549982364257258712085830096/515865211875 |
j-invariant |
L |
2.9366220512998 |
L(r)(E,1)/r! |
Ω |
0.11541049535658 |
Real period |
R |
6.3612543257556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14820h4 |
Quadratic twists by: -3 |