Atkin-Lehner |
3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675b |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-131161860826171875 = -1 · 39 · 59 · 76 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4050,17424281] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-4288:1] [195:5062:1] |
Generators of the group modulo torsion |
j |
23887872/426477625 |
j-invariant |
L |
7.5111566587242 |
L(r)(E,1)/r! |
Ω |
0.25964185147532 |
Real period |
R |
1.8080570928869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45675a1 9135a2 |
Quadratic twists by: -3 5 |