Atkin-Lehner |
3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111909c |
Isogeny class |
Conductor |
111909 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-4632025419 = -1 · 35 · 72 · 733 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ 0 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1484,22748] |
[a1,a2,a3,a4,a6] |
Generators |
[49:255:1] |
Generators of the group modulo torsion |
j |
-929714176/11907 |
j-invariant |
L |
3.8877020135076 |
L(r)(E,1)/r! |
Ω |
1.3791792013364 |
Real period |
R |
0.70471297182978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000305757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111909e1 |
Quadratic twists by: 73 |