Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736h |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1661449273344 = -1 · 219 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 2 1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8748,-320976] |
[a1,a2,a3,a4,a6] |
j |
-14348907/322 |
j-invariant |
L |
0.98599738037109 |
L(r)(E,1)/r! |
Ω |
0.24649933139234 |
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 |
92736di1 2898k1 92736c1 |
Quadratic twists by: -4 8 -3 |