Atkin-Lehner |
2+ 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290l |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2690291266710768000 = 27 · 320 · 53 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5410035,-4841381259] |
[a1,a2,a3,a4,a6] |
Generators |
[-1349:1367:1] [-1343:1473:1] |
Generators of the group modulo torsion |
j |
24021297020609669939761/3690385825392000 |
j-invariant |
L |
6.5368395008057 |
L(r)(E,1)/r! |
Ω |
0.098992783463125 |
Real period |
R |
33.016747646275 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bk2 |
Quadratic twists by: -3 |