Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998a |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40318668 = 22 · 33 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -4 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102,280] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:20:1] [-3:25:1] |
Generators of the group modulo torsion |
j |
4370722875/1493284 |
j-invariant |
L |
4.4752822970691 |
L(r)(E,1)/r! |
Ω |
1.8769343917026 |
Real period |
R |
0.59608933546817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87984m2 10998j2 |
Quadratic twists by: -4 -3 |