Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230n |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
76862433793741200 = 24 · 39 · 52 · 11 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-152489,-18650788] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:1438:1] |
Generators of the group modulo torsion |
j |
392134602959710675849/76862433793741200 |
j-invariant |
L |
3.9650213147663 |
L(r)(E,1)/r! |
Ω |
0.24489759481984 |
Real period |
R |
2.6984212984228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
81840bt1 30690bu1 51150bn1 112530cv1 |
Quadratic twists by: -4 -3 5 -11 |