Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200bd |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
1300000000 = 28 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 1 5- -2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,1463] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:50:1] |
Generators of the group modulo torsion |
j |
40960/13 |
j-invariant |
L |
4.2423443055552 |
L(r)(E,1)/r! |
Ω |
1.4123647527595 |
Real period |
R |
0.50061953392545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1300e1 20800ed1 46800eu1 5200x1 |
Quadratic twists by: -4 8 -3 5 |