Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800l |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3027600000000 = 210 · 32 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6008,160512] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:500:1] [-64:528:1] |
Generators of the group modulo torsion |
j |
1499221444/189225 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
17400bn2 104400x2 6960t2 |
Quadratic twists by: -4 -3 5 |