Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222x |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-8366176 = -1 · 25 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 6 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19,147] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:14:1] |
Generators of the group modulo torsion |
j |
-328509/3808 |
j-invariant |
L |
7.4628670603744 |
L(r)(E,1)/r! |
Ω |
1.9778988400647 |
Real period |
R |
0.37731287916271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40222h1 |
Quadratic twists by: 13 |