Atkin-Lehner |
2- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450ba |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5274228050 = -1 · 2 · 52 · 7 · 133 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-833,-10239] |
[a1,a2,a3,a4,a6] |
Generators |
[3124:15145:64] |
Generators of the group modulo torsion |
j |
-2557121079865/210969122 |
j-invariant |
L |
6.6352869551733 |
L(r)(E,1)/r! |
Ω |
0.4422419862447 |
Real period |
R |
5.0012490579511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450t1 |
Quadratic twists by: 5 |