Atkin-Lehner |
2- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222s |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
592704 |
Modular degree for the optimal curve |
Δ |
-112447197812150656 = -1 · 27 · 77 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141372,-26114275] |
[a1,a2,a3,a4,a6] |
Generators |
[447:283:1] |
Generators of the group modulo torsion |
j |
-64737212661577/23296384384 |
j-invariant |
L |
9.2009870436641 |
L(r)(E,1)/r! |
Ω |
0.12092410201667 |
Real period |
R |
2.7174622316855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094c1 |
Quadratic twists by: 13 |