Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
33180f |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
273137760000 = 28 · 32 · 54 · 74 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1011596,391951896] |
[a1,a2,a3,a4,a6] |
Generators |
[578:126:1] |
Generators of the group modulo torsion |
j |
447203801198868977104/1066944375 |
j-invariant |
L |
3.1764301455057 |
L(r)(E,1)/r! |
Ω |
0.6411771333473 |
Real period |
R |
0.41283835364429 |
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 |
99540w2 |
Quadratic twists by: -3 |