Atkin-Lehner |
3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10143b |
Isogeny class |
Conductor |
10143 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-82338652683 = -1 · 33 · 78 · 232 |
Discriminant |
Eigenvalues |
-2 3+ -2 7+ -4 -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1029,5402] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:11:1] [0:73:1] |
Generators of the group modulo torsion |
j |
774144/529 |
j-invariant |
L |
2.971591615376 |
L(r)(E,1)/r! |
Ω |
0.68176093056539 |
Real period |
R |
0.36322503023051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10143a1 10143f1 |
Quadratic twists by: -3 -7 |