Atkin-Lehner |
2- 3+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37740a |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-147063562986240 = -1 · 28 · 37 · 5 · 175 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31821,2272041] |
[a1,a2,a3,a4,a6] |
j |
-13919988148117504/574467042915 |
j-invariant |
L |
0.57464624981036 |
L(r)(E,1)/r! |
Ω |
0.57464624980172 |
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 |
113220n1 |
Quadratic twists by: -3 |