Atkin-Lehner |
2+ 3+ 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230a |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6455682000000 = -1 · 27 · 32 · 56 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -5 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4307,-53987] |
[a1,a2,a3,a4,a6] |
Generators |
[19:178:1] |
Generators of the group modulo torsion |
j |
8832644759403431/6455682000000 |
j-invariant |
L |
2.2514359886739 |
L(r)(E,1)/r! |
Ω |
0.42189520336044 |
Real period |
R |
1.3341203992958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690ca1 |
Quadratic twists by: -3 |