Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725p |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-16538351922421875 = -1 · 32 · 57 · 77 · 134 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -1 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-445033,114586968] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-10238:1] [-4374:111471:8] |
Generators of the group modulo torsion |
j |
-21842779439104/37059435 |
j-invariant |
L |
7.8584653095036 |
L(r)(E,1)/r! |
Ω |
0.3908777001373 |
Real period |
R |
0.11967062640886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745m1 88725b1 |
Quadratic twists by: 5 13 |