Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184be |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-3223504050624 = -1 · 26 · 37 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7869,-282220] |
[a1,a2,a3,a4,a6] |
j |
-1154981015488/69090879 |
j-invariant |
L |
3.0308750090246 |
L(r)(E,1)/r! |
Ω |
0.2525729174251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184i1 82368bi1 13728b1 |
Quadratic twists by: -4 8 -3 |