Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262n |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
6870958235475889152 = 210 · 3 · 134 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8624298,-9751186761] |
[a1,a2,a3,a4,a6] |
Generators |
[5457:322427:1] |
Generators of the group modulo torsion |
j |
479212306722528625/46414138368 |
j-invariant |
L |
8.5539136198597 |
L(r)(E,1)/r! |
Ω |
0.088099032647251 |
Real period |
R |
4.8547148378487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786i2 1794g2 |
Quadratic twists by: -3 -23 |