Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10143f |
Isogeny class |
Conductor |
10143 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-699867 = -1 · 33 · 72 · 232 |
Discriminant |
Eigenvalues |
-2 3+ 2 7- -4 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,21,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[4:11:1] |
Generators of the group modulo torsion |
j |
774144/529 |
j-invariant |
L |
2.5814642010405 |
L(r)(E,1)/r! |
Ω |
1.620759272782 |
Real period |
R |
0.3981874798423 |
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 |
10143d1 10143b1 |
Quadratic twists by: -3 -7 |