Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bl |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-603607671804528 = -1 · 24 · 37 · 297 |
Discriminant |
Eigenvalues |
2- 3- -4 3 -1 -3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42330,-3568581] |
[a1,a2,a3,a4,a6] |
Generators |
[2298:22707:8] |
Generators of the group modulo torsion |
j |
-881395456/63423 |
j-invariant |
L |
6.0552559104177 |
L(r)(E,1)/r! |
Ω |
0.16573399061778 |
Real period |
R |
1.3048568905604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10092c1 121104cj1 1392j1 |
Quadratic twists by: -4 -3 29 |