Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086h |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6579528372906E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75739473,-161190346275] |
[a1,a2,a3,a4,a6] |
Generators |
[-176626431314931:-1926700176758196:24363778699] |
Generators of the group modulo torsion |
j |
74266483535212753/25625625854976 |
j-invariant |
L |
4.3523077994333 |
L(r)(E,1)/r! |
Ω |
0.05261656028373 |
Real period |
R |
20.679362731861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129111 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40362bb2 3906b2 |
Quadratic twists by: -3 -31 |