Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425ba |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
-1394536590576171875 = -1 · 517 · 73 · 732 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -1 5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,203992,44322543] |
[a1,a2,a3,a4,a6] |
Generators |
[-2658:1396567:216] |
Generators of the group modulo torsion |
j |
175164802961408/260205078125 |
j-invariant |
L |
10.824232623398 |
L(r)(E,1)/r! |
Ω |
0.18333473521301 |
Real period |
R |
7.3801021831999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885n1 89425p1 |
Quadratic twists by: 5 -7 |