Atkin-Lehner |
2- 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
33180q |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
36572588640000 = 28 · 310 · 54 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18620,-939900] |
[a1,a2,a3,a4,a6] |
Generators |
[340:-5670:1] |
Generators of the group modulo torsion |
j |
2788984499878096/142861674375 |
j-invariant |
L |
7.2705162584542 |
L(r)(E,1)/r! |
Ω |
0.40999916942145 |
Real period |
R |
0.29555004012624 |
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 |
99540h2 |
Quadratic twists by: -3 |