Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7728t |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-24047186688 = -1 · 28 · 35 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 5 -6 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253,-7705] |
[a1,a2,a3,a4,a6] |
Generators |
[47:294:1] |
Generators of the group modulo torsion |
j |
-7023616000/93934323 |
j-invariant |
L |
5.3023063871879 |
L(r)(E,1)/r! |
Ω |
0.51201166885166 |
Real period |
R |
0.20711662291135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1932a1 30912bq1 23184bt1 54096bt1 |
Quadratic twists by: -4 8 -3 -7 |