Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368bo |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1744692856604208 = -1 · 24 · 39 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27930,2695637] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:1323:1] [14:1519:1] |
Generators of the group modulo torsion |
j |
-1755904000/1271403 |
j-invariant |
L |
11.717229798138 |
L(r)(E,1)/r! |
Ω |
0.43394855900457 |
Real period |
R |
1.6875891101735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456b1 15624v1 |
Quadratic twists by: -3 -7 |