Atkin-Lehner |
3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22575a |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-296296875 = -1 · 32 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-192000333,-1023938666557] |
[a1,a2,a3,a4,a6] |
Generators |
[1619056437:363717489067:29791] |
Generators of the group modulo torsion |
j |
-50096759460260217094144000/18963 |
j-invariant |
L |
2.5550905639955 |
L(r)(E,1)/r! |
Ω |
0.020278884578275 |
Real period |
R |
15.749698622064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67725m3 903b3 |
Quadratic twists by: -3 5 |