Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240bo |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3751737264000000 = 210 · 310 · 56 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163947,25380214] |
[a1,a2,a3,a4,a6] |
Generators |
[123:2660:1] |
Generators of the group modulo torsion |
j |
652839839685796/5025796875 |
j-invariant |
L |
9.0292350775084 |
L(r)(E,1)/r! |
Ω |
0.44460632727228 |
Real period |
R |
1.6923651560564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080g2 |
Quadratic twists by: -3 |