Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bb |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3183494589843750 = -1 · 2 · 39 · 510 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,36367,484327] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:3101:8] |
Generators of the group modulo torsion |
j |
270250212973077/161738281250 |
j-invariant |
L |
5.8936163681958 |
L(r)(E,1)/r! |
Ω |
0.2743645530511 |
Real period |
R |
5.3702421674512 |
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 |
65520ca2 8190d2 40950i2 57330dg2 |
Quadratic twists by: -4 -3 5 -7 |