Atkin-Lehner |
2- 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166n |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2994700897944 = -1 · 23 · 39 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1716,86925] |
[a1,a2,a3,a4,a6] |
Generators |
[35:249:1] |
Generators of the group modulo torsion |
j |
-232755107809/1247272344 |
j-invariant |
L |
6.4813388087941 |
L(r)(E,1)/r! |
Ω |
0.69382536751864 |
Real period |
R |
1.5569092532063 |
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 |
78498k1 26166u1 |
Quadratic twists by: -3 -7 |