Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1210k |
Isogeny class |
Conductor |
1210 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-85184000 = -1 · 29 · 53 · 113 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11+ 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195,1057] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-64:1] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
3.1188896743243 |
L(r)(E,1)/r! |
Ω |
1.8688399836081 |
Real period |
R |
0.030905383391723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9680u1 38720b1 10890k1 6050b1 |
Quadratic twists by: -4 8 -3 5 |