Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144cc |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
173211885713664 = 28 · 36 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19551,-840350] |
[a1,a2,a3,a4,a6] |
Generators |
[401:7470:1] |
Generators of the group modulo torsion |
j |
109744/23 |
j-invariant |
L |
6.8922793433043 |
L(r)(E,1)/r! |
Ω |
0.40971695816965 |
Real period |
R |
4.205512613309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016d1 81144bz1 |
Quadratic twists by: -3 -7 |