Atkin-Lehner |
2+ 3+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35178h |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1584230817312 = 25 · 310 · 112 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-846611,299476749] |
[a1,a2,a3,a4,a6] |
Generators |
[537:-21:1] |
Generators of the group modulo torsion |
j |
67108299566393622785977/1584230817312 |
j-invariant |
L |
3.1770849360328 |
L(r)(E,1)/r! |
Ω |
0.61294751242246 |
Real period |
R |
2.5916451830232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105534bk2 |
Quadratic twists by: -3 |