Atkin-Lehner |
2+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37184c |
Isogeny class |
Conductor |
37184 |
Conductor |
∏ cp |
2 |
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] |
Generators |
[9:32:1] |
Generators of the group modulo torsion |
j |
207646/581 |
j-invariant |
L |
4.0378170078249 |
L(r)(E,1)/r! |
Ω |
0.99428914947849 |
Real period |
R |
2.0305044110872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37184h1 4648a1 |
Quadratic twists by: -4 8 |