Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2064i |
Isogeny class |
Conductor |
2064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
93601640448 = 212 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3912,-91728] |
[a1,a2,a3,a4,a6] |
Generators |
[-978:910:27] |
Generators of the group modulo torsion |
j |
1616855892553/22851963 |
j-invariant |
L |
2.8923271070208 |
L(r)(E,1)/r! |
Ω |
0.60417426208028 |
Real period |
R |
4.7872398553721 |
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 |
129b3 8256bm3 6192x3 51600cq4 |
Quadratic twists by: -4 8 -3 5 |