Atkin-Lehner |
2+ 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838x |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
598752 |
Modular degree for the optimal curve |
Δ |
-2979340535248896 = -1 · 211 · 3 · 76 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8503,2642714] |
[a1,a2,a3,a4,a6] |
Generators |
[-206382:753299:1331] |
Generators of the group modulo torsion |
j |
-577801395289/25323976704 |
j-invariant |
L |
6.7889323573818 |
L(r)(E,1)/r! |
Ω |
0.37444935555083 |
Real period |
R |
9.0652210758304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262b1 |
Quadratic twists by: -7 |