Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26166m |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-6981819668712 = -1 · 23 · 35 · 79 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4485,171448] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:540:1] |
Generators of the group modulo torsion |
j |
-84778086457/59344488 |
j-invariant |
L |
5.6940780819392 |
L(r)(E,1)/r! |
Ω |
0.6882400628016 |
Real period |
R |
0.41366947302955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498cf1 3738a1 |
Quadratic twists by: -3 -7 |