Atkin-Lehner |
2+ 3+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10578c |
Isogeny class |
Conductor |
10578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3186223241260032 = 210 · 316 · 412 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-240441,-45398619] |
[a1,a2,a3,a4,a6] |
Generators |
[1439:50182:1] |
Generators of the group modulo torsion |
j |
1537276934430978316057/3186223241260032 |
j-invariant |
L |
2.4127263738466 |
L(r)(E,1)/r! |
Ω |
0.21562606988933 |
Real period |
R |
5.5947000635983 |
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 |
84624w2 31734n2 |
Quadratic twists by: -4 -3 |