Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725cc |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
573029026171875 = 311 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 3 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-555513,-159405858] |
[a1,a2,a3,a4,a6] |
Generators |
[-429:255:1] |
Generators of the group modulo torsion |
j |
287183643885385/8680203 |
j-invariant |
L |
5.4775895326766 |
L(r)(E,1)/r! |
Ω |
0.17487461910201 |
Real period |
R |
1.42377060641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725t1 88725cj1 |
Quadratic twists by: 5 13 |