Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bx |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
23500800 |
Modular degree for the optimal curve |
Δ |
-3.5468236958215E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,36247342,-33991259695] |
[a1,a2,a3,a4,a6] |
Generators |
[148305:57085279:1] |
Generators of the group modulo torsion |
j |
4078200565293477839/2746350494908416 |
j-invariant |
L |
12.141782184743 |
L(r)(E,1)/r! |
Ω |
0.044873162399485 |
Real period |
R |
1.1274168276274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42834n1 11682i1 |
Quadratic twists by: -3 -11 |