Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bs |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
113450436311040 = 211 · 33 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28298976,57933997344] |
[a1,a2,a3,a4,a6] |
Generators |
[201444:472395:64] |
Generators of the group modulo torsion |
j |
50700519510140162/2295 |
j-invariant |
L |
7.3191505315358 |
L(r)(E,1)/r! |
Ω |
0.3201003899629 |
Real period |
R |
7.6217240601547 |
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 |
69360j4 104040bj4 2040l4 |
Quadratic twists by: -4 -3 17 |