Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360hc |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-106964550000 = -1 · 24 · 34 · 55 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,670,14475] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:105:1] |
Generators of the group modulo torsion |
j |
864545024/2784375 |
j-invariant |
L |
10.684333965767 |
L(r)(E,1)/r! |
Ω |
0.74781127195099 |
Real period |
R |
0.23812456178421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340h1 129360ed1 |
Quadratic twists by: -4 -7 |