Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025ba |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4890071586687890625 = 38 · 58 · 114 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-474755,67447122] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:14093:1] |
Generators of the group modulo torsion |
j |
1038924390371041/429306696225 |
j-invariant |
L |
3.6900086892354 |
L(r)(E,1)/r! |
Ω |
0.22031552916047 |
Real period |
R |
2.0935931657305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15675b3 9405h3 |
Quadratic twists by: -3 5 |