Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040bm |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-5738688000 = -1 · 29 · 37 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 6 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,2558] |
[a1,a2,a3,a4,a6] |
Generators |
[1:54:1] |
Generators of the group modulo torsion |
j |
13481272/15375 |
j-invariant |
L |
4.9621686361424 |
L(r)(E,1)/r! |
Ω |
0.89928396178985 |
Real period |
R |
1.3794776864545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59040bl1 118080ft1 19680g1 |
Quadratic twists by: -4 8 -3 |