Atkin-Lehner |
2+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030i |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
24771848185562500 = 22 · 56 · 118 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4769419,-4007895567] |
[a1,a2,a3,a4,a6] |
Generators |
[1097971:39331102:343] |
Generators of the group modulo torsion |
j |
6772735026997676001/13983062500 |
j-invariant |
L |
4.0163481991773 |
L(r)(E,1)/r! |
Ω |
0.10216055293443 |
Real period |
R |
6.5523467454672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999183 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4730g2 |
Quadratic twists by: -11 |