Atkin-Lehner |
2- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103090n |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
125647200 |
Modular degree for the optimal curve |
Δ |
-111502144000000000 = -1 · 215 · 59 · 134 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37333181181,2776451707375345] |
[a1,a2,a3,a4,a6] |
Generators |
[535589179040678:-267793349246823:4801149703] |
Generators of the group modulo torsion |
j |
-201481556307820499158104352302529/3904000000000 |
j-invariant |
L |
6.2635816940973 |
L(r)(E,1)/r! |
Ω |
0.078461805880934 |
Real period |
R |
15.965938137091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
103090i1 |
Quadratic twists by: 13 |