Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736cr |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.9178815834265E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-511144,2111881840] |
[a1,a2,a3,a4,a6] |
Generators |
[-1404:7744:1] [642:-45254:1] |
Generators of the group modulo torsion |
j |
-2035346265217/264305213568 |
j-invariant |
L |
7.6096789047228 |
L(r)(E,1)/r! |
Ω |
0.12122222573139 |
Real period |
R |
3.9234136202075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342q2 8976u2 |
Quadratic twists by: -4 -11 |