Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
31150t |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
5470438400000000 = 216 · 58 · 74 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100630,-11735003] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:795:1] |
Generators of the group modulo torsion |
j |
7212437423428329/350108057600 |
j-invariant |
L |
8.009704527872 |
L(r)(E,1)/r! |
Ω |
0.26885844889831 |
Real period |
R |
0.46549265519023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6230a1 |
Quadratic twists by: 5 |