Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360go |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6.2249486898879E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201039176,1029330652020] |
[a1,a2,a3,a4,a6] |
Generators |
[29676:4604214:1] |
Generators of the group modulo torsion |
j |
1864737106103260904761/129177711985836360 |
j-invariant |
L |
7.0638663464452 |
L(r)(E,1)/r! |
Ω |
0.061035776155259 |
Real period |
R |
9.644434053822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000183761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170e7 18480cc7 |
Quadratic twists by: -4 -7 |