Atkin-Lehner |
3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45951i |
Isogeny class |
Conductor |
45951 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
428064893334927 = 39 · 177 · 53 |
Discriminant |
Eigenvalues |
1 3- 0 1 0 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-375851,88652315] |
[a1,a2,a3,a4,a6] |
Generators |
[75:7765:1] |
Generators of the group modulo torsion |
j |
243262773015625/17734383 |
j-invariant |
L |
9.1171009870062 |
L(r)(E,1)/r! |
Ω |
0.50432853791648 |
Real period |
R |
1.0043167743014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2703a1 |
Quadratic twists by: 17 |