Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600bv |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2446875000000000 = 29 · 33 · 514 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-214008,-38103012] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:222:1] [-261:204:1] |
Generators of the group modulo torsion |
j |
135495783169928/305859375 |
j-invariant |
L |
11.137262792823 |
L(r)(E,1)/r! |
Ω |
0.22199888265128 |
Real period |
R |
16.722700973196 |
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 |
69600j4 13920h2 |
Quadratic twists by: -4 5 |