Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320j |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
5596820000000 = 28 · 57 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -3 -6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16928,-840052] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:86:1] |
Generators of the group modulo torsion |
j |
7488405504/78125 |
j-invariant |
L |
2.7153059357952 |
L(r)(E,1)/r! |
Ω |
0.41881459696713 |
Real period |
R |
3.2416562787641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580a1 42320u1 |
Quadratic twists by: -4 -23 |