Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111825n |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15479681396484375 = 36 · 514 · 72 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64692,2084341] |
[a1,a2,a3,a4,a6] |
Generators |
[-2292:72371:27] |
Generators of the group modulo torsion |
j |
2628643361401/1358984375 |
j-invariant |
L |
7.3980905200498 |
L(r)(E,1)/r! |
Ω |
0.34613955187273 |
Real period |
R |
5.3432860401199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999705735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12425b2 22365h2 |
Quadratic twists by: -3 5 |