Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dh |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.9709624984007E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9647105,-9345676728] |
[a1,a2,a3,a4,a6] |
Generators |
[-14178:380835:8] |
Generators of the group modulo torsion |
j |
74093292126001/14707625625 |
j-invariant |
L |
4.1912824963007 |
L(r)(E,1)/r! |
Ω |
0.086852476376179 |
Real period |
R |
6.0321862051266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041231 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40425w4 24255bm4 17325y3 |
Quadratic twists by: -3 5 -7 |