Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41496j |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-159106516116912 = -1 · 24 · 39 · 72 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-931,607288] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1085:1] |
Generators of the group modulo torsion |
j |
-5583662639104/9944157257307 |
j-invariant |
L |
6.983106903037 |
L(r)(E,1)/r! |
Ω |
0.46325426161606 |
Real period |
R |
3.768506564124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992m1 124488bu1 |
Quadratic twists by: -4 -3 |