Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514r |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-178668600617909248 = -1 · 210 · 7 · 1110 · 312 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139213,-28529775] |
[a1,a2,a3,a4,a6] |
Generators |
[2034:89007:1] |
Generators of the group modulo torsion |
j |
-168425239515625/100853767168 |
j-invariant |
L |
4.6838723806354 |
L(r)(E,1)/r! |
Ω |
0.12028565161887 |
Real period |
R |
1.9469788447866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774c1 |
Quadratic twists by: -11 |