Atkin-Lehner |
2- 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152n |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1269888793344 = 28 · 38 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 0 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8620,306124] |
[a1,a2,a3,a4,a6] |
j |
276729797638096/4960503099 |
j-invariant |
L |
1.7234419388202 |
L(r)(E,1)/r! |
Ω |
0.86172096947257 |
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 |
10788e1 129456bt1 |
Quadratic twists by: -4 -3 |