Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664ds |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
63995904 = 215 · 32 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83329,-9286369] |
[a1,a2,a3,a4,a6] |
j |
1952843763499784/1953 |
j-invariant |
L |
2.2479676901405 |
L(r)(E,1)/r! |
Ω |
0.28099596127072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664cv4 20832x2 124992ey4 |
Quadratic twists by: -4 8 -3 |