Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bu |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2495390625 = -1 · 33 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 5 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,2417] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:44:1] |
Generators of the group modulo torsion |
j |
-28561/945 |
j-invariant |
L |
6.2098143539744 |
L(r)(E,1)/r! |
Ω |
1.2068122502806 |
Real period |
R |
0.85760569508579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745e1 88725bo1 |
Quadratic twists by: 5 13 |