Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400et |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
25875000000 = 26 · 32 · 59 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3708,85338] |
[a1,a2,a3,a4,a6] |
Generators |
[14763:343468:27] |
Generators of the group modulo torsion |
j |
45118016/207 |
j-invariant |
L |
10.171491227534 |
L(r)(E,1)/r! |
Ω |
1.1968757515501 |
Real period |
R |
8.4983685205554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400cm1 55200p2 110400cl1 |
Quadratic twists by: -4 8 5 |