Atkin-Lehner |
3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72111a |
Isogeny class |
Conductor |
72111 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1362240 |
Modular degree for the optimal curve |
Δ |
2.063997079441E+19 |
Discriminant |
Eigenvalues |
1 3+ 2 2 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-747034,117942055] |
[a1,a2,a3,a4,a6] |
Generators |
[481820666271140427429468:3150438836069937378632401:603247454508276220096] |
Generators of the group modulo torsion |
j |
91733851/41067 |
j-invariant |
L |
7.2817255560386 |
L(r)(E,1)/r! |
Ω |
0.19381397089124 |
Real period |
R |
37.570694836004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72111c1 |
Quadratic twists by: -43 |