Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800h |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-30780000000 = -1 · 28 · 34 · 57 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,492,-7488] |
[a1,a2,a3,a4,a6] |
Generators |
[21:108:1] [32:200:1] |
Generators of the group modulo torsion |
j |
3286064/7695 |
j-invariant |
L |
6.6056489770814 |
L(r)(E,1)/r! |
Ω |
0.60755198352137 |
Real period |
R |
2.7181414744116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11400bh1 91200hl1 68400bw1 4560j1 |
Quadratic twists by: -4 8 -3 5 |