Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200hb |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
432261249840000000 = 210 · 38 · 57 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74091675,245472151750] |
[a1,a2,a3,a4,a6] |
Generators |
[4995:3100:1] [5006:4446:1] |
Generators of the group modulo torsion |
j |
32779037733124/315 |
j-invariant |
L |
10.873241295385 |
L(r)(E,1)/r! |
Ω |
0.20776272434697 |
Real period |
R |
13.083724871244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400br4 17640bf4 12600ce3 |
Quadratic twists by: -3 5 -7 |