Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360q |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-3586680000 = -1 · 26 · 37 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 1 4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,315,-2025] |
[a1,a2,a3,a4,a6] |
Generators |
[10:45:1] |
Generators of the group modulo torsion |
j |
53838872576/56041875 |
j-invariant |
L |
5.8988881111516 |
L(r)(E,1)/r! |
Ω |
0.76133455247739 |
Real period |
R |
1.9370223287373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360cz1 615b1 118080u1 |
Quadratic twists by: -4 8 -3 |