Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400x |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-798768000000 = -1 · 210 · 33 · 56 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,42750] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:56:1] [-5:200:1] |
Generators of the group modulo torsion |
j |
37044/1849 |
j-invariant |
L |
9.8013621419671 |
L(r)(E,1)/r! |
Ω |
0.67956997540806 |
Real period |
R |
3.6057221834109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77400a2 3096b2 |
Quadratic twists by: -3 5 |