Atkin-Lehner |
2- 3- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230bf |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-33507000000 = -1 · 26 · 33 · 56 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,135,-8775] |
[a1,a2,a3,a4,a6] |
Generators |
[20:35:1] |
Generators of the group modulo torsion |
j |
271971840239/33507000000 |
j-invariant |
L |
10.930220807807 |
L(r)(E,1)/r! |
Ω |
0.55180943026292 |
Real period |
R |
1.65066358788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111690i1 |
Quadratic twists by: -3 |