Atkin-Lehner |
2+ 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33288a |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
546455808 = 28 · 34 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] |
Generators of the group modulo torsion |
j |
6940769488/2134593 |
j-invariant |
L |
6.5758048906207 |
L(r)(E,1)/r! |
Ω |
1.2265873080623 |
Real period |
R |
2.6805286698298 |
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 |
66576j1 99864j1 |
Quadratic twists by: -4 -3 |