Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222t |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-1397502771392 = -1 · 26 · 7 · 133 · 175 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 5 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34122,-2440937] |
[a1,a2,a3,a4,a6] |
Generators |
[421:7407:1] |
Generators of the group modulo torsion |
j |
-1999852137736669/636095936 |
j-invariant |
L |
8.5621672820035 |
L(r)(E,1)/r! |
Ω |
0.17563157119492 |
Real period |
R |
4.0625608215682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40222n1 |
Quadratic twists by: 13 |