Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400es |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1656000 = 26 · 32 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148,-742] |
[a1,a2,a3,a4,a6] |
Generators |
[2883:29728:27] |
Generators of the group modulo torsion |
j |
45118016/207 |
j-invariant |
L |
9.4892775694604 |
L(r)(E,1)/r! |
Ω |
1.3683896039963 |
Real period |
R |
6.9346314230121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400cl1 55200o2 110400cm1 |
Quadratic twists by: -4 8 5 |