Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600dc |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
25401600000000 = 214 · 34 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42033,3294063] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:2100:1] |
Generators of the group modulo torsion |
j |
32082281296/99225 |
j-invariant |
L |
6.483761752896 |
L(r)(E,1)/r! |
Ω |
0.67322817164374 |
Real period |
R |
1.2038566614543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600el2 4200d2 100800fi2 6720e2 |
Quadratic twists by: -4 8 -3 5 |