Atkin-Lehner |
2- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774j |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17095364 = 22 · 113 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4456,115591] |
[a1,a2,a3,a4,a6] |
Generators |
[41:3:1] |
Generators of the group modulo torsion |
j |
7350042131307/12844 |
j-invariant |
L |
7.0053481185802 |
L(r)(E,1)/r! |
Ω |
1.8753887113741 |
Real period |
R |
1.8677056324615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59774a2 |
Quadratic twists by: -11 |