Atkin-Lehner |
2- 3+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726l |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
832897296 = 24 · 33 · 74 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-517,4091] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:76:1] |
Generators of the group modulo torsion |
j |
15284380546513/832897296 |
j-invariant |
L |
8.3196927548033 |
L(r)(E,1)/r! |
Ω |
1.5629642867123 |
Real period |
R |
2.6615108309044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178m1 |
Quadratic twists by: -3 |