Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130cc |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
26655471798616080 = 24 · 33 · 5 · 711 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2321376,-1362283791] |
[a1,a2,a3,a4,a6] |
Generators |
[-3084473832:1117168885:3511808] |
Generators of the group modulo torsion |
j |
11759042337234822001/226567771920 |
j-invariant |
L |
6.3233271371801 |
L(r)(E,1)/r! |
Ω |
0.12231048358157 |
Real period |
R |
12.924744645909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000104284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590x1 |
Quadratic twists by: -7 |