Atkin-Lehner |
3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453m |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.8878001255032E+28 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1039871410,9986432426881] |
[a1,a2,a3,a4,a6] |
j |
1056998538000979945454553625/245458960594924840566327 |
j-invariant |
L |
0.28090303927874 |
L(r)(E,1)/r! |
Ω |
0.035112967168686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779l2 |
Quadratic twists by: -7 |