Atkin-Lehner |
2+ 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230q |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-36697329652500 = -1 · 22 · 316 · 54 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3857,276806] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:332:1] |
Generators of the group modulo torsion |
j |
6347964359974679/36697329652500 |
j-invariant |
L |
4.2881916058233 |
L(r)(E,1)/r! |
Ω |
0.47006771608873 |
Real period |
R |
1.1403121983956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840cl3 30690bc3 51150bh3 112530cy3 |
Quadratic twists by: -4 -3 5 -11 |