Atkin-Lehner |
3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44505f |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
251904 |
Modular degree for the optimal curve |
Δ |
-1395098235 = -1 · 38 · 5 · 23 · 432 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 2 4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-372693,-87573956] |
[a1,a2,a3,a4,a6] |
j |
-7853258467812929536/1913715 |
j-invariant |
L |
1.5457944110786 |
L(r)(E,1)/r! |
Ω |
0.096612150684581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14835b1 |
Quadratic twists by: -3 |