Atkin-Lehner |
2+ 3- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882k |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
1464165497088 = 28 · 37 · 72 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30357,-2027403] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:77:1] |
Generators of the group modulo torsion |
j |
4244052845292625/2008457472 |
j-invariant |
L |
4.2566500604161 |
L(r)(E,1)/r! |
Ω |
0.36169833256084 |
Real period |
R |
1.4710636183576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294u1 |
Quadratic twists by: -3 |