Atkin-Lehner |
2- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318o |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
36478736 = 24 · 73 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-162,671] |
[a1,a2,a3,a4,a6] |
Generators |
[3:13:1] |
Generators of the group modulo torsion |
j |
1371330631/106352 |
j-invariant |
L |
14.382308157879 |
L(r)(E,1)/r! |
Ω |
2.0125955661255 |
Real period |
R |
1.7865372954145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38318u1 |
Quadratic twists by: -7 |