Atkin-Lehner |
2+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728n |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
27776 |
Modular degree for the optimal curve |
Δ |
4203363472 = 24 · 77 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 11+ -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1380,19951] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-49:1] |
Generators of the group modulo torsion |
j |
18178400056576/262710217 |
j-invariant |
L |
2.678835483623 |
L(r)(E,1)/r! |
Ω |
1.3891487903654 |
Real period |
R |
0.27548581262776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864e1 |
Quadratic twists by: -4 |