Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bw |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-203931473869799424 = -1 · 219 · 34 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-346544,81587136] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3366:1] |
Generators of the group modulo torsion |
j |
-3977954113/176256 |
j-invariant |
L |
6.0979597668853 |
L(r)(E,1)/r! |
Ω |
0.31412291907276 |
Real period |
R |
4.8531636794335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bn1 119952gy1 39984cy1 |
Quadratic twists by: -4 -3 -7 |