Atkin-Lehner |
2+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25520f |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4347791360 = 211 · 5 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6227,189106] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:484:1] [21:260:1] |
Generators of the group modulo torsion |
j |
13038581830482/2122945 |
j-invariant |
L |
7.4356653258679 |
L(r)(E,1)/r! |
Ω |
1.3369865127599 |
Real period |
R |
2.7807555479826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12760f3 102080bi4 127600c4 |
Quadratic twists by: -4 8 5 |