Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638q |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5848096492 = 22 · 76 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44967,3681395] |
[a1,a2,a3,a4,a6] |
Generators |
[123:-68:1] [758:3733:8] |
Generators of the group modulo torsion |
j |
85468909049649/49708 |
j-invariant |
L |
11.641623466008 |
L(r)(E,1)/r! |
Ω |
1.1096027258352 |
Real period |
R |
2.6229260245323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1462b2 |
Quadratic twists by: -7 |