Atkin-Lehner |
3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725c |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
102936489140625 = 3 · 57 · 7 · 894 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18125,-810000] |
[a1,a2,a3,a4,a6] |
Generators |
[-610:3255:8] [900:-27150:1] |
Generators of the group modulo torsion |
j |
42147825224401/6587935305 |
j-invariant |
L |
9.5887626032965 |
L(r)(E,1)/r! |
Ω |
0.41579184813926 |
Real period |
R |
5.7653623118198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9345g3 |
Quadratic twists by: 5 |