Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864r |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-2549657088 = -1 · 29 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 11+ -5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,-2430] |
[a1,a2,a3,a4,a6] |
Generators |
[18:54:1] |
Generators of the group modulo torsion |
j |
-216/253 |
j-invariant |
L |
2.1774230825837 |
L(r)(E,1)/r! |
Ω |
0.65224525387463 |
Real period |
R |
1.6691751072753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72864u1 72864e1 |
Quadratic twists by: -4 -3 |