Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536x |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-1861403580813312 = -1 · 212 · 319 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 3 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-625217,190083567] |
[a1,a2,a3,a4,a6] |
Generators |
[514:2187:1] |
Generators of the group modulo torsion |
j |
-6598675828987167808/454444233597 |
j-invariant |
L |
7.9260607992313 |
L(r)(E,1)/r! |
Ω |
0.44561525580794 |
Real period |
R |
0.46807317440241 |
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 |
37536o1 75072bz1 112608u1 |
Quadratic twists by: -4 8 -3 |