Atkin-Lehner |
3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111909b |
Isogeny class |
Conductor |
111909 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20183450315553 = -1 · 32 · 78 · 733 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-147,216090] |
[a1,a2,a3,a4,a6] |
Generators |
[1846:27401:8] |
Generators of the group modulo torsion |
j |
-912673/51883209 |
j-invariant |
L |
5.2834821170238 |
L(r)(E,1)/r! |
Ω |
0.5452795304655 |
Real period |
R |
4.8447464684342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999204302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111909d2 |
Quadratic twists by: 73 |