Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040n |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-15434775244800 = -1 · 212 · 37 · 52 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3912,163888] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-1476:1] |
Generators of the group modulo torsion |
j |
2217342464/5169075 |
j-invariant |
L |
5.2658001817542 |
L(r)(E,1)/r! |
Ω |
0.48679276237933 |
Real period |
R |
0.2253611370808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59040m1 118080ge1 19680bc1 |
Quadratic twists by: -4 8 -3 |