Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bz |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-258107500000 = -1 · 25 · 57 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,995,20997] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-180:1] |
Generators of the group modulo torsion |
j |
2906631/6880 |
j-invariant |
L |
8.5169832340539 |
L(r)(E,1)/r! |
Ω |
0.68506645242782 |
Real period |
R |
0.41441153536281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070a1 105350cn1 |
Quadratic twists by: 5 -7 |