Atkin-Lehner |
3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489m |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
58080 |
Modular degree for the optimal curve |
Δ |
874903700979 = 311 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 11+ -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9997,381254] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:173:1] [89:401:1] |
Generators of the group modulo torsion |
j |
46019653412593/364391379 |
j-invariant |
L |
5.2561046369362 |
L(r)(E,1)/r! |
Ω |
0.89257228060063 |
Real period |
R |
0.089222969136943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467n1 27489h1 |
Quadratic twists by: -3 -7 |