Atkin-Lehner |
2+ 3- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370k |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1395216770400 = 25 · 37 · 52 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5445,-142475] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:104:1] |
Generators of the group modulo torsion |
j |
24492589315921/1913877600 |
j-invariant |
L |
4.5275060694135 |
L(r)(E,1)/r! |
Ω |
0.55852350667697 |
Real period |
R |
1.0132756310167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790t2 |
Quadratic twists by: -3 |