Atkin-Lehner |
5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
51005a |
Isogeny class |
Conductor |
51005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-270714176407020025 = -1 · 52 · 1018 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52918,25480982] |
[a1,a2,a3,a4,a6] |
Generators |
[98:4558:1] |
Generators of the group modulo torsion |
j |
-15438249/255025 |
j-invariant |
L |
2.7812282449317 |
L(r)(E,1)/r! |
Ω |
0.26137709789686 |
Real period |
R |
5.3203365315507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
505a2 |
Quadratic twists by: 101 |