Atkin-Lehner |
2+ 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28272d |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
763344 = 24 · 34 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-199,1016] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:42:1] |
Generators of the group modulo torsion |
j |
54744881152/47709 |
j-invariant |
L |
5.3059124669193 |
L(r)(E,1)/r! |
Ω |
2.8216110111652 |
Real period |
R |
1.8804549762258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14136b1 113088t1 84816e1 |
Quadratic twists by: -4 8 -3 |