Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bc |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3063161780398080 = -1 · 211 · 36 · 5 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,2662846] |
[a1,a2,a3,a4,a6] |
Generators |
[-3570:204034:125] |
Generators of the group modulo torsion |
j |
-2/85 |
j-invariant |
L |
7.2916652564268 |
L(r)(E,1)/r! |
Ω |
0.35895454687924 |
Real period |
R |
5.0784043041821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11560d1 6120e1 |
Quadratic twists by: -3 17 |