Atkin-Lehner |
3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44505a |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-82000774035 = -1 · 36 · 5 · 233 · 432 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -4 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1488,-26037] |
[a1,a2,a3,a4,a6] |
j |
-499810041856/112483915 |
j-invariant |
L |
1.519170841189 |
L(r)(E,1)/r! |
Ω |
0.37979271032611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4945c1 |
Quadratic twists by: -3 |