Atkin-Lehner |
2- 3+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37884d |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32160 |
Modular degree for the optimal curve |
Δ |
-90964181616 = -1 · 24 · 3 · 7 · 115 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2850,61293] |
[a1,a2,a3,a4,a6] |
j |
-160062901286656/5685261351 |
j-invariant |
L |
2.1317952074142 |
L(r)(E,1)/r! |
Ω |
1.065897603705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652x1 |
Quadratic twists by: -3 |