Atkin-Lehner |
2+ 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230q |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
35354880 = 28 · 34 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2883,59326] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-6:1] |
Generators of the group modulo torsion |
j |
2648750651939881/35354880 |
j-invariant |
L |
4.2881916058233 |
L(r)(E,1)/r! |
Ω |
1.8802708643549 |
Real period |
R |
1.1403121983956 |
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 |
81840cl1 30690bc1 51150bh1 112530cy1 |
Quadratic twists by: -4 -3 5 -11 |