Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
3090j |
Isogeny class |
Conductor |
3090 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-13905000 = -1 · 23 · 33 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -5 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[18:66:1] |
Generators of the group modulo torsion |
j |
-24137569/13905000 |
j-invariant |
L |
5.0782210518568 |
L(r)(E,1)/r! |
Ω |
1.0027951452584 |
Real period |
R |
0.28133701394926 |
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 |
24720m1 98880j1 9270j1 15450h1 |
Quadratic twists by: -4 8 -3 5 |