Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360s |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
604569600 = 216 · 32 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545,-4575] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:12:1] |
Generators of the group modulo torsion |
j |
273671716/9225 |
j-invariant |
L |
5.0320285357492 |
L(r)(E,1)/r! |
Ω |
0.98999219186625 |
Real period |
R |
1.2707242989121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360df1 4920i1 118080w1 |
Quadratic twists by: -4 8 -3 |