Atkin-Lehner |
2- 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
62040t |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-215818647264000 = -1 · 28 · 34 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10255,579525] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-990:1] |
Generators of the group modulo torsion |
j |
465852457339904/843041590875 |
j-invariant |
L |
4.3239349613227 |
L(r)(E,1)/r! |
Ω |
0.38546766440796 |
Real period |
R |
0.1557968612761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124080v1 |
Quadratic twists by: -4 |