Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544a |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-87641934158016 = -1 · 26 · 39 · 72 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -1 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25002,-1586898] |
[a1,a2,a3,a4,a6] |
Generators |
[6879:79093:27] |
Generators of the group modulo torsion |
j |
-1372071356928/69572993 |
j-invariant |
L |
5.3551948770651 |
L(r)(E,1)/r! |
Ω |
0.18927578276352 |
Real period |
R |
7.0732700168785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544m1 34272a1 68544h1 |
Quadratic twists by: -4 8 -3 |