Atkin-Lehner |
2- 3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290bf |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
2553278760000 = 26 · 310 · 54 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5603,143331] |
[a1,a2,a3,a4,a6] |
Generators |
[77:366:1] [11:282:1] |
Generators of the group modulo torsion |
j |
26679972804841/3502440000 |
j-invariant |
L |
14.318847703726 |
L(r)(E,1)/r! |
Ω |
0.78232245120915 |
Real period |
R |
1.5252499871738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430h1 |
Quadratic twists by: -3 |