Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
3090i |
Isogeny class |
Conductor |
3090 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-140130362880 = -1 · 29 · 312 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12446,533700] |
[a1,a2,a3,a4,a6] |
Generators |
[46:220:1] |
Generators of the group modulo torsion |
j |
-213213786511688929/140130362880 |
j-invariant |
L |
5.146360987134 |
L(r)(E,1)/r! |
Ω |
1.024057684442 |
Real period |
R |
0.046532037545886 |
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 |
24720l1 98880i1 9270i1 15450g1 |
Quadratic twists by: -4 8 -3 5 |