Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483v |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11271010834610289 = 34 · 78 · 176 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56939,1116744] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:2266:1] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
3.0255522395725 |
L(r)(E,1)/r! |
Ω |
0.35036029197029 |
Real period |
R |
2.1588863727709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127449bi2 6069b2 147a2 |
Quadratic twists by: -3 -7 17 |