Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502bt |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
7.761242534621E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4957151,-282740169] |
[a1,a2,a3,a4,a6] |
j |
10431251950649473/6009628361616 |
j-invariant |
L |
0.88153067769936 |
L(r)(E,1)/r! |
Ω |
0.11019140650194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834i1 11682c1 |
Quadratic twists by: -3 -11 |