Atkin-Lehner |
2+ 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128k |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-199263186716525568 = -1 · 210 · 314 · 72 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38472,-21266784] |
[a1,a2,a3,a4,a6] |
Generators |
[420:8316:1] |
Generators of the group modulo torsion |
j |
6149598456393500/194592955777857 |
j-invariant |
L |
7.8350329482065 |
L(r)(E,1)/r! |
Ω |
0.15315042951156 |
Real period |
R |
1.8271095039403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256b2 111384cg2 |
Quadratic twists by: -4 -3 |