Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512h |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
4414030848 = 210 · 310 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,-1406] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:36:1] |
Generators of the group modulo torsion |
j |
12194500/5913 |
j-invariant |
L |
4.0572101109099 |
L(r)(E,1)/r! |
Ω |
1.0975145403409 |
Real period |
R |
0.92418140302036 |
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 |
5256l1 42048cc1 3504j1 |
Quadratic twists by: -4 8 -3 |