Atkin-Lehner |
2- 3+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28272f |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
537168 = 24 · 3 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,-68] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:85:64] |
Generators of the group modulo torsion |
j |
359661568/33573 |
j-invariant |
L |
4.0515197255065 |
L(r)(E,1)/r! |
Ω |
1.9429684903631 |
Real period |
R |
4.1704430572103 |
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 |
7068e1 113088bc1 84816s1 |
Quadratic twists by: -4 8 -3 |