Atkin-Lehner |
5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
2525b |
Isogeny class |
Conductor |
2525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3984765625 = -1 · 58 · 1012 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 -2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130,3122] |
[a1,a2,a3,a4,a6] |
Generators |
[8:46:1] |
Generators of the group modulo torsion |
j |
-15438249/255025 |
j-invariant |
L |
1.9434721116422 |
L(r)(E,1)/r! |
Ω |
1.1747439480843 |
Real period |
R |
0.82718966750647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40400k2 22725k2 505a2 123725p2 |
Quadratic twists by: -4 -3 5 -7 |