Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360v |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
6274298880 = 210 · 36 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4805,-126555] |
[a1,a2,a3,a4,a6] |
Generators |
[74824:771579:512] |
Generators of the group modulo torsion |
j |
11983793373184/6127245 |
j-invariant |
L |
6.7424020075818 |
L(r)(E,1)/r! |
Ω |
0.57343210245139 |
Real period |
R |
5.8789889672702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360dj1 2460b1 118080bd1 |
Quadratic twists by: -4 8 -3 |