Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200cf |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
175177728000000 = 222 · 35 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18008,-684012] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:450:1] |
Generators of the group modulo torsion |
j |
10091699281/2737152 |
j-invariant |
L |
5.1409589919699 |
L(r)(E,1)/r! |
Ω |
0.42050582305536 |
Real period |
R |
1.2225654699895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1650b1 52800fb1 39600dz1 528f1 |
Quadratic twists by: -4 8 -3 5 |