Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400ba |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.1740625E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2269008,-1208588012] |
[a1,a2,a3,a4,a6] |
Generators |
[-678:4312:1] |
Generators of the group modulo torsion |
j |
20186080966364041/1834472656250 |
j-invariant |
L |
5.283260140122 |
L(r)(E,1)/r! |
Ω |
0.12372514509223 |
Real period |
R |
5.3376984658453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050l2 17680l2 |
Quadratic twists by: -4 5 |