Atkin-Lehner |
5+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
97405d |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
68909649416925625 = 54 · 76 · 116 · 232 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319765,-68362200] |
[a1,a2,a3,a4,a6] |
Generators |
[-2834:6247:8] [7470:165315:8] |
Generators of the group modulo torsion |
j |
2041085246738049/38897700625 |
j-invariant |
L |
12.510950398774 |
L(r)(E,1)/r! |
Ω |
0.20099925673067 |
Real period |
R |
10.373960749178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993183 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
805c2 |
Quadratic twists by: -11 |