Atkin-Lehner |
2+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222h |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
143520 |
Modular degree for the optimal curve |
Δ |
-40381933612384 = -1 · 25 · 7 · 139 · 17 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ -6 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3158,314068] |
[a1,a2,a3,a4,a6] |
Generators |
[-4716:26525:64] |
Generators of the group modulo torsion |
j |
-328509/3808 |
j-invariant |
L |
4.1573049798654 |
L(r)(E,1)/r! |
Ω |
0.54857043734876 |
Real period |
R |
3.7892171149016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40222x1 |
Quadratic twists by: 13 |