Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200t |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
37060031250000 = 24 · 34 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85383,-9627012] |
[a1,a2,a3,a4,a6] |
j |
275361373935616/148240125 |
j-invariant |
L |
2.2343967868576 |
L(r)(E,1)/r! |
Ω |
0.2792995983572 |
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 |
6600g1 52800ff1 39600bh1 2640e1 |
Quadratic twists by: -4 8 -3 5 |