Atkin-Lehner |
2+ 3- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134o |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-768316824576 = -1 · 210 · 38 · 7 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1518,35620] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:144:1] |
Generators of the group modulo torsion |
j |
387213263968103/768316824576 |
j-invariant |
L |
2.904558984526 |
L(r)(E,1)/r! |
Ω |
0.61982416655171 |
Real period |
R |
0.58576269312897 |
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 |
66402bj1 |
Quadratic twists by: -3 |