Atkin-Lehner |
2+ 3+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194a |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
659035597024784304 = 24 · 312 · 132 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -6 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-348621,-69076755] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:1950:1] |
Generators of the group modulo torsion |
j |
4685827442899322920537/659035597024784304 |
j-invariant |
L |
2.2000856319428 |
L(r)(E,1)/r! |
Ω |
0.19831439194852 |
Real period |
R |
2.7734820583696 |
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 |
75582be2 |
Quadratic twists by: -3 |