Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200v |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3525120 |
Modular degree for the optimal curve |
Δ |
-9.3633781879851E+21 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -6 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,610625,-4651962625] |
[a1,a2,a3,a4,a6] |
Generators |
[2526345:-144120025:729] |
Generators of the group modulo torsion |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
9.7403917605727 |
L(r)(E,1)/r! |
Ω |
0.060769608618561 |
Real period |
R |
2.2261657096723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400o1 1288c1 |
Quadratic twists by: -4 5 |