Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bp |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1617408000 = -1 · 212 · 35 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 1 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53,-1923] |
[a1,a2,a3,a4,a6] |
Generators |
[52:365:1] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
4.3679047079899 |
L(r)(E,1)/r! |
Ω |
0.66375167552563 |
Real period |
R |
3.2903153913178 |
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 |
975j1 62400hz1 46800en1 15600cu1 |
Quadratic twists by: -4 8 -3 5 |