Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570f |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2773889429480000 = 26 · 54 · 132 · 177 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53953,-4090863] |
[a1,a2,a3,a4,a6] |
j |
719564007681/114920000 |
j-invariant |
L |
3.7996030179871 |
L(r)(E,1)/r! |
Ω |
0.31663358483379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210e1 |
Quadratic twists by: 17 |