Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720m |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-2484978750000 = -1 · 24 · 39 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52518,4633067] |
[a1,a2,a3,a4,a6] |
Generators |
[127:108:1] |
Generators of the group modulo torsion |
j |
-1373411683895296/213046875 |
j-invariant |
L |
5.7246295649154 |
L(r)(E,1)/r! |
Ω |
0.78697617432535 |
Real period |
R |
1.818552375816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36360r1 24240c1 |
Quadratic twists by: -4 -3 |