Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640u |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-180656183040 = -1 · 28 · 3 · 5 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1324,-8196] |
[a1,a2,a3,a4,a6] |
Generators |
[447:9492:1] |
Generators of the group modulo torsion |
j |
21296/15 |
j-invariant |
L |
7.0159964142336 |
L(r)(E,1)/r! |
Ω |
0.57120394928829 |
Real period |
R |
6.1414109819391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320t1 240c1 |
Quadratic twists by: -4 -19 |