Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722ci |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
97371445248 = 211 · 36 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ -3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11160,-450752] |
[a1,a2,a3,a4,a6] |
Generators |
[-941475:694439:15625] |
Generators of the group modulo torsion |
j |
3233229419/2048 |
j-invariant |
L |
7.6785449729126 |
L(r)(E,1)/r! |
Ω |
0.46451334357938 |
Real period |
R |
8.2651500869084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858bb1 106722bm1 106722gd1 |
Quadratic twists by: -3 -7 -11 |