Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400cl |
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 |
[11:18:1] |
Generators of the group modulo torsion |
j |
45118016/207 |
j-invariant |
L |
5.7181765170701 |
L(r)(E,1)/r! |
Ω |
2.6762955410873 |
Real period |
R |
2.1366013013212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400es1 55200cx2 110400et1 |
Quadratic twists by: -4 8 5 |