Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8200a |
Isogeny class |
Conductor |
8200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2562500000000 = 28 · 512 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6508,189012] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3450:1] |
Generators of the group modulo torsion |
j |
7622072656/640625 |
j-invariant |
L |
6.1762485379248 |
L(r)(E,1)/r! |
Ω |
0.7924813998824 |
Real period |
R |
3.8967782328023 |
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 |
16400f2 65600i2 73800cj2 1640f2 |
Quadratic twists by: -4 8 -3 5 |