Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355c |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
747461925 = 39 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 3 4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-378,2504] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:67:1] [4:32:1] |
Generators of the group modulo torsion |
j |
6193152/775 |
j-invariant |
L |
8.7542831750301 |
L(r)(E,1)/r! |
Ω |
1.543606499314 |
Real period |
R |
1.4178294757985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68355g1 68355e1 |
Quadratic twists by: -3 -7 |