Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944bk |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-391294926848 = -1 · 214 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 6 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1307,-23549] |
[a1,a2,a3,a4,a6] |
Generators |
[996:1813:64] |
Generators of the group modulo torsion |
j |
128000/203 |
j-invariant |
L |
8.326477573813 |
L(r)(E,1)/r! |
Ω |
0.50110391873569 |
Real period |
R |
4.1540672793393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944dy1 11368d1 12992g1 |
Quadratic twists by: -4 8 -7 |