Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950bn |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-5420921741609000 = -1 · 23 · 53 · 1111 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 11- 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88090,10631900] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3330:1] |
Generators of the group modulo torsion |
j |
-341385539669/24479752 |
j-invariant |
L |
4.2367778181644 |
L(r)(E,1)/r! |
Ω |
0.42140297526841 |
Real period |
R |
2.5134954634558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998859242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950dj1 10450be1 |
Quadratic twists by: 5 -11 |