Atkin-Lehner |
2- 7- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286bd |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1081489844288 = -1 · 26 · 77 · 172 · 71 |
Discriminant |
Eigenvalues |
2- -1 0 7- 3 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18033,925903] |
[a1,a2,a3,a4,a6] |
Generators |
[13:826:1] |
Generators of the group modulo torsion |
j |
-5512402554625/9192512 |
j-invariant |
L |
8.870966094249 |
L(r)(E,1)/r! |
Ω |
0.87234008258275 |
Real period |
R |
0.2118575061701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999568201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16898h1 |
Quadratic twists by: -7 |