Atkin-Lehner |
3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6417b |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7423974891 = -1 · 39 · 233 · 31 |
Discriminant |
Eigenvalues |
0 3+ -3 2 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-864,-10618] |
[a1,a2,a3,a4,a6] |
j |
-3623878656/377177 |
j-invariant |
L |
0.87543083491909 |
L(r)(E,1)/r! |
Ω |
0.43771541745955 |
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 |
102672bc2 6417e1 |
Quadratic twists by: -4 -3 |