Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bm |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
-2.5400987438634E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2794699,1625766717] |
[a1,a2,a3,a4,a6] |
Generators |
[104755887868:-9973215409787:12008989] |
Generators of the group modulo torsion |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
3.4618579804132 |
L(r)(E,1)/r! |
Ω |
0.095621410791884 |
Real period |
R |
18.101897638531 |
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 |
2499j1 119952gb1 5712z1 |
Quadratic twists by: -4 -3 -7 |