Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600bv |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3819317400000000 = 29 · 33 · 58 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187008,30922488] |
[a1,a2,a3,a4,a6] |
Generators |
[-462:4350:1] [18:5250:1] |
Generators of the group modulo torsion |
j |
90410028096968/477414675 |
j-invariant |
L |
11.137262792823 |
L(r)(E,1)/r! |
Ω |
0.44399776530255 |
Real period |
R |
1.0451688108247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600j3 13920h3 |
Quadratic twists by: -4 5 |