Atkin-Lehner |
3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42483d |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
133380 |
Modular degree for the optimal curve |
Δ |
-319715842530483 = -1 · 313 · 74 · 174 |
Discriminant |
Eigenvalues |
0 3+ -2 7+ 4 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9441,781346] |
[a1,a2,a3,a4,a6] |
j |
464027648/1594323 |
j-invariant |
L |
1.1547185179629 |
L(r)(E,1)/r! |
Ω |
0.38490617262181 |
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 |
127449w1 42483ba1 42483n1 |
Quadratic twists by: -3 -7 17 |