Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496q |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-182272596807168 = -1 · 29 · 314 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8931,-726266] |
[a1,a2,a3,a4,a6] |
Generators |
[129:518:1] |
Generators of the group modulo torsion |
j |
-211069990664/488341791 |
j-invariant |
L |
5.7357815857944 |
L(r)(E,1)/r! |
Ω |
0.22943224163204 |
Real period |
R |
3.1249866763567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496n2 124992fw3 20832be4 |
Quadratic twists by: -4 8 -3 |