Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123192j |
Isogeny class |
Conductor |
123192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
151040 |
Modular degree for the optimal curve |
Δ |
-286125000048 = -1 · 24 · 311 · 29 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -5 -5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11235,459083] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:333:1] [38:295:1] |
Generators of the group modulo torsion |
j |
-13446071968000/24530607 |
j-invariant |
L |
10.980045907869 |
L(r)(E,1)/r! |
Ω |
0.97525202568849 |
Real period |
R |
1.4073344139626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41064a1 |
Quadratic twists by: -3 |