Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810t |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-7541869500 = -1 · 22 · 38 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,-3963] |
[a1,a2,a3,a4,a6] |
Generators |
[35:198:1] |
Generators of the group modulo torsion |
j |
2294744759/10345500 |
j-invariant |
L |
6.3618059695727 |
L(r)(E,1)/r! |
Ω |
0.66618516218528 |
Real period |
R |
2.3874015554115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270f1 94050l1 |
Quadratic twists by: -3 5 |