Atkin-Lehner |
2- 3+ 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bh |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
12020736 |
Modular degree for the optimal curve |
Δ |
-4.06467045E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76530452,257728552951] |
[a1,a2,a3,a4,a6] |
Generators |
[5101:4949:1] |
Generators of the group modulo torsion |
j |
-1835958151206147960872566083/150543350000000000000 |
j-invariant |
L |
13.011944758587 |
L(r)(E,1)/r! |
Ω |
0.13255306439414 |
Real period |
R |
0.2696814361476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122670c1 |
Quadratic twists by: -3 |