Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
74340b |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-12746395872000 = -1 · 28 · 39 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5832,-10908] |
[a1,a2,a3,a4,a6] |
Generators |
[24:378:1] |
Generators of the group modulo torsion |
j |
4353564672/2529625 |
j-invariant |
L |
4.6644032926915 |
L(r)(E,1)/r! |
Ω |
0.42065355912818 |
Real period |
R |
0.61602596866209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74340f1 |
Quadratic twists by: -3 |