Atkin-Lehner |
2+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400c |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
7952000000 = 210 · 56 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4208,-103588] |
[a1,a2,a3,a4,a6] |
Generators |
[-20592875844:1628229257:567663552] |
Generators of the group modulo torsion |
j |
515150500/497 |
j-invariant |
L |
9.531695229588 |
L(r)(E,1)/r! |
Ω |
0.59278496041223 |
Real period |
R |
16.079515976854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3976a1 |
Quadratic twists by: 5 |