Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10176r |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-62521344 = -1 · 217 · 32 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 3 2 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,639] |
[a1,a2,a3,a4,a6] |
Generators |
[15:48:1] |
Generators of the group modulo torsion |
j |
-1825346/477 |
j-invariant |
L |
6.0029721539906 |
L(r)(E,1)/r! |
Ω |
1.8711369230087 |
Real period |
R |
0.40102437722316 |
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 |
10176b1 2544a1 30528bx1 |
Quadratic twists by: -4 8 -3 |