Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20184o |
Isogeny class |
Conductor |
20184 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-7451946565488 = -1 · 24 · 33 · 297 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74288,7769781] |
[a1,a2,a3,a4,a6] |
Generators |
[19:2523:1] |
Generators of the group modulo torsion |
j |
-4764064000/783 |
j-invariant |
L |
6.3911872418764 |
L(r)(E,1)/r! |
Ω |
0.71895878344484 |
Real period |
R |
0.37039601510334 |
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 |
40368a1 60552e1 696a1 |
Quadratic twists by: -4 -3 29 |