Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075c |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3757406675009765625 = 34 · 510 · 416 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-421125,-48825000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4322:39143:8] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
6.7307848942061 |
L(r)(E,1)/r! |
Ω |
0.19564471942243 |
Real period |
R |
4.3003875150938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000014156 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25215h3 75b3 |
Quadratic twists by: 5 41 |