Atkin-Lehner |
2- 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230x |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-126698184256680 = -1 · 23 · 38 · 5 · 17 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5366,-562740] |
[a1,a2,a3,a4,a6] |
Generators |
[286:4474:1] |
Generators of the group modulo torsion |
j |
-17087588446951009/126698184256680 |
j-invariant |
L |
9.4215762810089 |
L(r)(E,1)/r! |
Ω |
0.24673960706365 |
Real period |
R |
3.1820240215752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111690u3 |
Quadratic twists by: -3 |