Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780x |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4334093547685200 = 24 · 310 · 52 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156972,23727161] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:6885:1] |
Generators of the group modulo torsion |
j |
36672690756665344/371578664925 |
j-invariant |
L |
7.4960993893163 |
L(r)(E,1)/r! |
Ω |
0.43896798879412 |
Real period |
R |
0.71152676853025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260b1 |
Quadratic twists by: -3 |