Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100bk |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-603301239440928000 = -1 · 28 · 34 · 53 · 72 · 416 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9028,-37374652] |
[a1,a2,a3,a4,a6] |
Generators |
[548:11070:1] |
Generators of the group modulo torsion |
j |
-2543293547408/18853163732529 |
j-invariant |
L |
7.0216097847873 |
L(r)(E,1)/r! |
Ω |
0.13172449833577 |
Real period |
R |
0.74035095520299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86100s2 |
Quadratic twists by: 5 |