Atkin-Lehner |
2- 3- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758w |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2264028270314747508 = -1 · 22 · 36 · 114 · 133 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,310360,28416575] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:3175:1] |
Generators of the group modulo torsion |
j |
4535182051990706375/3105662922242452 |
j-invariant |
L |
7.5493804296713 |
L(r)(E,1)/r! |
Ω |
0.1636227321372 |
Real period |
R |
1.9224560902643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862c2 |
Quadratic twists by: -3 |