Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576d |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
151137792 = 29 · 33 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387,2870] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:58:1] [14:14:1] |
Generators of the group modulo torsion |
j |
463684824/10933 |
j-invariant |
L |
8.4044153410021 |
L(r)(E,1)/r! |
Ω |
1.8249446560075 |
Real period |
R |
2.3026493738629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576v2 108576t2 |
Quadratic twists by: -4 -3 |