Atkin-Lehner |
3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247g |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
274950939167667 = 37 · 72 · 376 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9659921,11558439470] |
[a1,a2,a3,a4,a6] |
Generators |
[1804:-218:1] [435:86029:1] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
5.4630871866339 |
L(r)(E,1)/r! |
Ω |
0.36276624604038 |
Real period |
R |
1.8824405682791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28749e6 63a5 |
Quadratic twists by: -3 37 |