Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520c |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
11424400 = 24 · 52 · 134 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[17:65:1] |
Generators of the group modulo torsion |
j |
43264/25 |
j-invariant |
L |
5.8614684361464 |
L(r)(E,1)/r! |
Ω |
1.90465178635 |
Real period |
R |
0.51290814049351 |
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 |
6760h1 54080da1 121680bo1 67600k1 |
Quadratic twists by: -4 8 -3 5 |