Atkin-Lehner |
2+ 5+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17690b |
Isogeny class |
Conductor |
17690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
11321600 = 28 · 52 · 29 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64,-114] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
28344726649/11321600 |
j-invariant |
L |
2.0888566376761 |
L(r)(E,1)/r! |
Ω |
1.7504761168606 |
Real period |
R |
1.1933077050045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88450l1 |
Quadratic twists by: 5 |