Atkin-Lehner |
2+ 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450i |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-108062500 = -1 · 22 · 56 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,0,500] |
[a1,a2,a3,a4,a6] |
j |
-1/6916 |
j-invariant |
L |
2.9886441505302 |
L(r)(E,1)/r! |
Ω |
1.4943221247405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458d1 |
Quadratic twists by: 5 |