Atkin-Lehner |
2- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4004b |
Isogeny class |
Conductor |
4004 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
719542071248 = 24 · 7 · 113 · 136 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2373,-18536] |
[a1,a2,a3,a4,a6] |
j |
92401696768000/44971379453 |
j-invariant |
L |
1.0775747483415 |
L(r)(E,1)/r! |
Ω |
0.71838316556103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16016i3 64064q3 36036n3 100100a3 |
Quadratic twists by: -4 8 -3 5 |