Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gm |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4452666408960 = 215 · 3 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38635536,-92446194156] |
[a1,a2,a3,a4,a6] |
Generators |
[-60425289281500:-1165427586:16836267547] |
Generators of the group modulo torsion |
j |
13235378341603461121/9240 |
j-invariant |
L |
8.2116164500654 |
L(r)(E,1)/r! |
Ω |
0.060555391787483 |
Real period |
R |
16.95063021449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000100345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bk3 18480ci3 |
Quadratic twists by: -4 -7 |