Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800d |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-2877817682160000000 = -1 · 210 · 35 · 57 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-801008,288018012] |
[a1,a2,a3,a4,a6] |
j |
-3552342505518244/179863605135 |
j-invariant |
L |
1.5084104699491 |
L(r)(E,1)/r! |
Ω |
0.25140174499152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600t1 110400do1 41400bj1 2760j1 |
Quadratic twists by: -4 8 -3 5 |