Atkin-Lehner |
2- 3+ 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630j |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
58887475200 = 212 · 33 · 52 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1235,-12463] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:46:1] |
Generators of the group modulo torsion |
j |
208327481285041/58887475200 |
j-invariant |
L |
7.535530284861 |
L(r)(E,1)/r! |
Ω |
0.82261428927231 |
Real period |
R |
0.76337217242753 |
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 |
100890e1 |
Quadratic twists by: -3 |