Atkin-Lehner |
2+ 5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450s |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-3219398000 = -1 · 24 · 53 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,338,-1404] |
[a1,a2,a3,a4,a6] |
Generators |
[8:38:1] |
Generators of the group modulo torsion |
j |
34106789907/25755184 |
j-invariant |
L |
5.2673276500865 |
L(r)(E,1)/r! |
Ω |
0.79181870859655 |
Real period |
R |
1.108698155851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450bn1 |
Quadratic twists by: 5 |