Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512l |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-644448503808 = -1 · 211 · 310 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,45650] |
[a1,a2,a3,a4,a6] |
Generators |
[23:146:1] |
Generators of the group modulo torsion |
j |
-296071778/431649 |
j-invariant |
L |
3.5390708943743 |
L(r)(E,1)/r! |
Ω |
0.81929850731928 |
Real period |
R |
1.0799088680004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5256i2 42048cm2 3504g2 |
Quadratic twists by: -4 8 -3 |