Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230be |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-6138000000 = -1 · 27 · 32 · 56 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12725,551457] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-47:1] |
Generators of the group modulo torsion |
j |
-227876330943752401/6138000000 |
j-invariant |
L |
7.664239717947 |
L(r)(E,1)/r! |
Ω |
1.2469459463155 |
Real period |
R |
0.073171535055535 |
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 |
81840ch1 30690j1 51150d1 112530bh1 |
Quadratic twists by: -4 -3 5 -11 |