Atkin-Lehner |
2- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39560d |
Isogeny class |
Conductor |
39560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-25318400 = -1 · 210 · 52 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,-164] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-20:1] [21:100:1] |
Generators of the group modulo torsion |
j |
27871484/24725 |
j-invariant |
L |
6.5533946634709 |
L(r)(E,1)/r! |
Ω |
1.165946917484 |
Real period |
R |
1.4051657423677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79120d1 |
Quadratic twists by: -4 |