Atkin-Lehner |
2+ 3- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814r |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1251617138631221544 = -1 · 23 · 316 · 74 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,88605,52838109] |
[a1,a2,a3,a4,a6] |
Generators |
[537:15702:1] |
Generators of the group modulo torsion |
j |
105528099415772879/1716895937765736 |
j-invariant |
L |
5.3751428045958 |
L(r)(E,1)/r! |
Ω |
0.20270884534909 |
Real period |
R |
1.6572854742884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938u1 |
Quadratic twists by: -3 |