Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800h |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-37260000000 = -1 · 28 · 34 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -6 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5033,139437] |
[a1,a2,a3,a4,a6] |
Generators |
[401:-7902:1] [-63:450:1] |
Generators of the group modulo torsion |
j |
-3525581824/9315 |
j-invariant |
L |
5.3787324960265 |
L(r)(E,1)/r! |
Ω |
1.1586474574111 |
Real period |
R |
0.14507034855659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600w1 110400eh1 41400bt1 2760i1 |
Quadratic twists by: -4 8 -3 5 |