Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368ca |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
171521263936512 = 210 · 38 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28371,-1728034] |
[a1,a2,a3,a4,a6] |
Generators |
[211:1296:1] |
Generators of the group modulo torsion |
j |
28756228/1953 |
j-invariant |
L |
4.4908272592573 |
L(r)(E,1)/r! |
Ω |
0.3694298888873 |
Real period |
R |
3.039025405574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999724544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456g1 15624y1 |
Quadratic twists by: -3 -7 |