Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725q |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-2997810399675 = -1 · 3 · 52 · 72 · 138 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -4 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7323,-252757] |
[a1,a2,a3,a4,a6] |
Generators |
[113:591:1] [34741:6475240:1] |
Generators of the group modulo torsion |
j |
-2129920/147 |
j-invariant |
L |
7.9774908305112 |
L(r)(E,1)/r! |
Ω |
0.25702047610934 |
Real period |
R |
5.1730579025809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725bz1 88725c1 |
Quadratic twists by: 5 13 |