Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480bf |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-159894000 = -1 · 24 · 35 · 53 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180,1053] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-15:1] |
Generators of the group modulo torsion |
j |
-40535147776/9993375 |
j-invariant |
L |
7.8846137261737 |
L(r)(E,1)/r! |
Ω |
1.7332962410415 |
Real period |
R |
0.15163043184192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78960i1 118440z1 |
Quadratic twists by: -4 -3 |