Atkin-Lehner |
5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3575b |
Isogeny class |
Conductor |
3575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-279296875 = -1 · 59 · 11 · 13 |
Discriminant |
Eigenvalues |
0 2 5+ -2 11+ 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-133,1043] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:37:1] |
Generators of the group modulo torsion |
j |
-16777216/17875 |
j-invariant |
L |
3.8282776026181 |
L(r)(E,1)/r! |
Ω |
1.5781989825134 |
Real period |
R |
1.2128627774558 |
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 |
57200bu1 32175m1 715a1 39325j1 |
Quadratic twists by: -4 -3 5 -11 |