Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870bk |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
4918295024893952000 = 221 · 53 · 138 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-978260,-356886128] |
[a1,a2,a3,a4,a6] |
Generators |
[-662:1176:1] |
Generators of the group modulo torsion |
j |
126922848287521/6029312000 |
j-invariant |
L |
7.3353588865259 |
L(r)(E,1)/r! |
Ω |
0.15225193310227 |
Real period |
R |
2.2942421616779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38870d1 |
Quadratic twists by: 13 |