Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360eb |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6037934918400000000 = 214 · 36 · 58 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134130656,-597871296000] |
[a1,a2,a3,a4,a6] |
Generators |
[496326:47903750:27] |
Generators of the group modulo torsion |
j |
553808571467029327441/12529687500 |
j-invariant |
L |
2.9863435880818 |
L(r)(E,1)/r! |
Ω |
0.044362656337144 |
Real period |
R |
8.4145761535549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999567991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cb5 2640v5 |
Quadratic twists by: -4 -7 |