Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cu |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
240696565312500 = 22 · 32 · 57 · 112 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2904438,-1905445008] |
[a1,a2,a3,a4,a6] |
Generators |
[-984:504:1] |
Generators of the group modulo torsion |
j |
173416343962694468761/15404580180 |
j-invariant |
L |
9.9716030894333 |
L(r)(E,1)/r! |
Ω |
0.11564690878431 |
Real period |
R |
2.6945173011572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570e3 |
Quadratic twists by: 5 |