Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11050l |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
4142987429140625000 = 23 · 510 · 133 · 176 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2407438,-1435405469] |
[a1,a2,a3,a4,a6] |
Generators |
[22975:3462887:1] |
Generators of the group modulo torsion |
j |
98757259854107414041/265151195465000 |
j-invariant |
L |
8.8118241066327 |
L(r)(E,1)/r! |
Ω |
0.12122183581017 |
Real period |
R |
4.0384290538911 |
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 |
88400ba4 99450s4 2210b4 |
Quadratic twists by: -4 -3 5 |