Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725cd |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8176896 |
Modular degree for the optimal curve |
Δ |
-4.5243321783669E+20 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 6 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10234358,12640060619] |
[a1,a2,a3,a4,a6] |
Generators |
[10586:301055:8] |
Generators of the group modulo torsion |
j |
-1375916339200/5250987 |
j-invariant |
L |
16.838659739415 |
L(r)(E,1)/r! |
Ω |
0.1676049125173 |
Real period |
R |
7.1761703849717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725w1 88725cp1 |
Quadratic twists by: 5 13 |