Atkin-Lehner |
2- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
37184h |
Isogeny class |
Conductor |
37184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-76152832 = -1 · 217 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 2 2 7- 1 2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,353] |
[a1,a2,a3,a4,a6] |
j |
207646/581 |
j-invariant |
L |
5.4379711008397 |
L(r)(E,1)/r! |
Ω |
1.3594927752108 |
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 |
37184c1 9296a1 |
Quadratic twists by: -4 8 |