Atkin-Lehner |
2- 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352bv |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4648228356096 = 230 · 32 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4737,72225] |
[a1,a2,a3,a4,a6] |
Generators |
[72:315:1] |
Generators of the group modulo torsion |
j |
44852393377/17731584 |
j-invariant |
L |
5.5475431953418 |
L(r)(E,1)/r! |
Ω |
0.70246810080764 |
Real period |
R |
3.9486086181716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bd1 23088p1 |
Quadratic twists by: -4 8 |