Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
118354n |
Isogeny class |
Conductor |
118354 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-236708 = -1 · 22 · 17 · 592 |
Discriminant |
Eigenvalues |
2- -1 0 -5 1 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43,93] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-4:1] |
Generators of the group modulo torsion |
j |
-2529625/68 |
j-invariant |
L |
5.4716870195377 |
L(r)(E,1)/r! |
Ω |
3.1232433493537 |
Real period |
R |
0.87596232738059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118354b1 |
Quadratic twists by: -59 |