Atkin-Lehner |
2+ 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87248g |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27136 |
Modular degree for the optimal curve |
Δ |
212187136 = 211 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -4 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,7904] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:76:1] [10:38:1] |
Generators of the group modulo torsion |
j |
21558430658/103607 |
j-invariant |
L |
8.628406067498 |
L(r)(E,1)/r! |
Ω |
1.7862083354338 |
Real period |
R |
0.60382136674654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43624g1 |
Quadratic twists by: -4 |