Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390f |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
264089935872000 = 216 · 33 · 53 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19082,638676] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:1044:1] |
Generators of the group modulo torsion |
j |
768477130627648681/264089935872000 |
j-invariant |
L |
2.9968984802907 |
L(r)(E,1)/r! |
Ω |
0.50727842401042 |
Real period |
R |
0.65642200470458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120cw1 37170bd1 61950cc1 86730bg1 |
Quadratic twists by: -4 -3 5 -7 |