Atkin-Lehner |
2+ 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87248c |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
356686575616 = 211 · 7 · 192 · 413 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ -2 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4171,-99622] |
[a1,a2,a3,a4,a6] |
Generators |
[-861:836:27] |
Generators of the group modulo torsion |
j |
3918450179394/174163367 |
j-invariant |
L |
14.724863545638 |
L(r)(E,1)/r! |
Ω |
0.59570566386761 |
Real period |
R |
3.0897942615099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43624j1 |
Quadratic twists by: -4 |