Atkin-Lehner |
2- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688t |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
68198819385088 = 28 · 73 · 292 · 314 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11119,213978] |
[a1,a2,a3,a4,a6] |
Generators |
[-264807620:-7339538517:10648000] |
Generators of the group modulo torsion |
j |
593855711204688/266401638223 |
j-invariant |
L |
6.7529622515694 |
L(r)(E,1)/r! |
Ω |
0.55466463350155 |
Real period |
R |
12.174856347071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25172j2 |
Quadratic twists by: -4 |