Atkin-Lehner |
2- 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112u |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
20856528 = 24 · 34 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5367,149562] |
[a1,a2,a3,a4,a6] |
Generators |
[-678:429:8] |
Generators of the group modulo torsion |
j |
1068758132021248/1303533 |
j-invariant |
L |
7.662747006249 |
L(r)(E,1)/r! |
Ω |
1.8220343312378 |
Real period |
R |
4.2055996832086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70224l1 105336q1 |
Quadratic twists by: -4 -3 |