Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fo |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.6032822760708E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2217920,3696426112] |
[a1,a2,a3,a4,a6] |
Generators |
[1617:107276:1] |
Generators of the group modulo torsion |
j |
2503876820718671/13702874328990 |
j-invariant |
L |
6.2249959370412 |
L(r)(E,1)/r! |
Ω |
0.096255444704847 |
Real period |
R |
8.083952878555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000164907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cf4 18480ct4 |
Quadratic twists by: -4 -7 |