Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222n |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
-6745478954479848128 = -1 · 26 · 7 · 139 · 175 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- -5 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5766621,-5333905091] |
[a1,a2,a3,a4,a6] |
Generators |
[20674:2941331:1] |
Generators of the group modulo torsion |
j |
-1999852137736669/636095936 |
j-invariant |
L |
1.7461767354356 |
L(r)(E,1)/r! |
Ω |
0.048711433502583 |
Real period |
R |
8.9618422713029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40222t1 |
Quadratic twists by: 13 |