Atkin-Lehner |
2- 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390r |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
68212005120 = 28 · 37 · 5 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1280,-12895] |
[a1,a2,a3,a4,a6] |
j |
231939558789121/68212005120 |
j-invariant |
L |
3.264805222954 |
L(r)(E,1)/r! |
Ω |
0.8162013057385 |
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 |
99120cy1 37170j1 61950u1 86730ci1 |
Quadratic twists by: -4 -3 5 -7 |