Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
27636b |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-775680538753008 = -1 · 24 · 34 · 78 · 473 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -6 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20466,-731835] |
[a1,a2,a3,a4,a6] |
Generators |
[135:2115:1] |
Generators of the group modulo torsion |
j |
10277727488/8409663 |
j-invariant |
L |
2.9848592144468 |
L(r)(E,1)/r! |
Ω |
0.27941779684708 |
Real period |
R |
1.780403901808 |
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 |
110544db1 82908i1 27636s1 |
Quadratic twists by: -4 -3 -7 |