Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832bj |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-3557611741298098176 = -1 · 216 · 34 · 7 · 117 · 173 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-779560,-280296268] |
[a1,a2,a3,a4,a6] |
Generators |
[2877580:436285614:125] |
Generators of the group modulo torsion |
j |
-12791249261627475241/868557554027856 |
j-invariant |
L |
7.5336140496869 |
L(r)(E,1)/r! |
Ω |
0.080021968601607 |
Real period |
R |
11.768040360247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854g1 |
Quadratic twists by: -4 |