Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144n |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
788480 |
Modular degree for the optimal curve |
Δ |
-901051422850720512 = -1 · 28 · 313 · 73 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -5 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40740,-45560396] |
[a1,a2,a3,a4,a6] |
Generators |
[350:3402:1] |
Generators of the group modulo torsion |
j |
116822144000/14076282141 |
j-invariant |
L |
6.6385188829369 |
L(r)(E,1)/r! |
Ω |
0.13266512001756 |
Real period |
R |
1.5637397000863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048u1 81144o1 |
Quadratic twists by: -3 -7 |