Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072d |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1277542673211359232 = -1 · 215 · 35 · 178 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127103,-51550367] |
[a1,a2,a3,a4,a6] |
Generators |
[3090151767528:14003571863455:11558505581] |
Generators of the group modulo torsion |
j |
6930072277846264/38987508337749 |
j-invariant |
L |
5.950453543024 |
L(r)(E,1)/r! |
Ω |
0.13639703617174 |
Real period |
R |
21.812986959277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75072bk3 37536g2 |
Quadratic twists by: -4 8 |