Atkin-Lehner |
5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109025c |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-212258046875 = -1 · 57 · 73 · 892 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -3 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4783,130843] |
[a1,a2,a3,a4,a6] |
Generators |
[41:44:1] [47:87:1] |
Generators of the group modulo torsion |
j |
-2258403328/39605 |
j-invariant |
L |
7.3805689256126 |
L(r)(E,1)/r! |
Ω |
1.0007111104112 |
Real period |
R |
0.46095776582417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21805c1 109025j1 |
Quadratic twists by: 5 -7 |