Atkin-Lehner |
2+ 3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130o |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.1421923515574E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71777565,72110287381] |
[a1,a2,a3,a4,a6] |
Generators |
[-2384955:-378944749:729] |
Generators of the group modulo torsion |
j |
56099934037429434201900241/29385354616699218750000 |
j-invariant |
L |
5.4003850487915 |
L(r)(E,1)/r! |
Ω |
0.059766479269629 |
Real period |
R |
11.294761473026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710w3 |
Quadratic twists by: -3 |