Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800l |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1740000000000 = 211 · 3 · 510 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93008,10948512] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:4500:1] [52:2500:1] |
Generators of the group modulo torsion |
j |
2780605132562/54375 |
j-invariant |
L |
6.6031450506687 |
L(r)(E,1)/r! |
Ω |
0.77230431969353 |
Real period |
R |
2.1374815866915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400bn3 104400x4 6960t3 |
Quadratic twists by: -4 -3 5 |