Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736c |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2279079936 = -1 · 219 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -2 1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,11888] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-32:1] |
Generators of the group modulo torsion |
j |
-14348907/322 |
j-invariant |
L |
7.116496609898 |
L(r)(E,1)/r! |
Ω |
1.4570204604971 |
Real period |
R |
0.6105350606333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736dn1 2898a1 92736h1 |
Quadratic twists by: -4 8 -3 |