Atkin-Lehner |
3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565u |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
337073200263803025 = 38 · 52 · 112 · 198 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-175093,-3884917] |
[a1,a2,a3,a4,a6] |
Generators |
[-625669:-26854889:12167] |
Generators of the group modulo torsion |
j |
12618417497041/7164776025 |
j-invariant |
L |
10.220146003463 |
L(r)(E,1)/r! |
Ω |
0.25202889621444 |
Real period |
R |
5.0689356245232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3135b2 |
Quadratic twists by: -19 |