Atkin-Lehner |
3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27489h |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
406560 |
Modular degree for the optimal curve |
Δ |
102931545516478371 = 311 · 710 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- 11+ 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-489854,-131259976] |
[a1,a2,a3,a4,a6] |
Generators |
[366086:7956472:343] |
Generators of the group modulo torsion |
j |
46019653412593/364391379 |
j-invariant |
L |
3.6061439490722 |
L(r)(E,1)/r! |
Ω |
0.1805469916494 |
Real period |
R |
9.9867184607397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467z1 27489m1 |
Quadratic twists by: -3 -7 |