Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350w |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1394081280000 = -1 · 212 · 38 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 5 -4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4167,-117059] |
[a1,a2,a3,a4,a6] |
Generators |
[110:809:1] |
Generators of the group modulo torsion |
j |
-17564884225/3059712 |
j-invariant |
L |
2.9912534156834 |
L(r)(E,1)/r! |
Ω |
0.29430705597701 |
Real period |
R |
1.2704645348007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450u1 37350bs1 |
Quadratic twists by: -3 5 |