Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712dk |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24920064 |
Modular degree for the optimal curve |
Δ |
6.5000122751949E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237189324,-1351452113008] |
[a1,a2,a3,a4,a6] |
Generators |
[-2657138579513670551:68185409876748715023:293668547439709] |
Generators of the group modulo torsion |
j |
7722211175253055152433/340131399900069888 |
j-invariant |
L |
8.2140877022248 |
L(r)(E,1)/r! |
Ω |
0.038575087009516 |
Real period |
R |
26.617203975367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712by1 26928bo1 35904cd1 |
Quadratic twists by: -4 8 -3 |