Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bz |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-46840787494921875 = -1 · 3 · 58 · 72 · 138 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -4 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-183083,-31960756] |
[a1,a2,a3,a4,a6] |
Generators |
[55866:2482199:27] |
Generators of the group modulo torsion |
j |
-2129920/147 |
j-invariant |
L |
5.3795009106369 |
L(r)(E,1)/r! |
Ω |
0.11494305123797 |
Real period |
R |
7.8002408731636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725q1 88725ch1 |
Quadratic twists by: 5 13 |