Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832bk |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-501495821697024 = -1 · 216 · 312 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10752,-1163340] |
[a1,a2,a3,a4,a6] |
Generators |
[156:990:1] |
Generators of the group modulo torsion |
j |
-33563861678593/122435503344 |
j-invariant |
L |
8.923528273811 |
L(r)(E,1)/r! |
Ω |
0.21482157701474 |
Real period |
R |
1.730802292983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854m1 |
Quadratic twists by: -4 |