Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
42720m |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
1026561600 = 26 · 34 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2670,52200] |
[a1,a2,a3,a4,a6] |
Generators |
[38:84:1] |
Generators of the group modulo torsion |
j |
32903353941184/16040025 |
j-invariant |
L |
8.5402144330722 |
L(r)(E,1)/r! |
Ω |
1.5362619655069 |
Real period |
R |
2.7795436666479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42720i1 85440ba2 128160h1 |
Quadratic twists by: -4 8 -3 |