Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bg |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
17510400 |
Modular degree for the optimal curve |
Δ |
1.0625712898023E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-329920574,2306095714253] |
[a1,a2,a3,a4,a6] |
Generators |
[10149:-60065:1] |
Generators of the group modulo torsion |
j |
5447840452252848306225570457/1457573785736969298944 |
j-invariant |
L |
11.333649661126 |
L(r)(E,1)/r! |
Ω |
0.085323975004513 |
Real period |
R |
1.1069231187065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554c1 |
Quadratic twists by: -3 |