Atkin-Lehner |
2+ 3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674g |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1897264374221403054 = 2 · 310 · 72 · 178 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17923788,-29202838470] |
[a1,a2,a3,a4,a6] |
Generators |
[-452301441:268943773:185193] |
Generators of the group modulo torsion |
j |
873545624928431867305153/2602557440632926 |
j-invariant |
L |
3.9517800938092 |
L(r)(E,1)/r! |
Ω |
0.073373997663564 |
Real period |
R |
13.464511341721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558bh4 |
Quadratic twists by: -3 |