Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440ca |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
143384436392400 = 24 · 33 · 52 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17982,727669] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1225:1] [38:315:1] |
Generators of the group modulo torsion |
j |
1488517501483008/331908417575 |
j-invariant |
L |
12.947694553202 |
L(r)(E,1)/r! |
Ω |
0.54743947683384 |
Real period |
R |
1.1825685855447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440e1 |
Quadratic twists by: -3 |