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 |
Δ |
-329663021820699 = -1 · 3 · 710 · 733 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ 0 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9466,-801568] |
[a1,a2,a3,a4,a6] |
Generators |
[267280:1224863:4096] |
Generators of the group modulo torsion |
j |
241106407424/847425747 |
j-invariant |
L |
3.8877020135076 |
L(r)(E,1)/r! |
Ω |
0.27583584026727 |
Real period |
R |
3.5235648591489 |
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 |
111909e2 |
Quadratic twists by: 73 |