Atkin-Lehner |
3- 5- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111555p |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2895652407576465 = -1 · 320 · 5 · 37 · 672 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18594,2771473] |
[a1,a2,a3,a4,a6] |
Generators |
[24370668:-818604025:21952] |
Generators of the group modulo torsion |
j |
-975276594443809/3972088350585 |
j-invariant |
L |
10.8310603625 |
L(r)(E,1)/r! |
Ω |
0.39412821002784 |
Real period |
R |
13.740529233611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999807438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37185b2 |
Quadratic twists by: -3 |