Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978t |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
9704448 |
Modular degree for the optimal curve |
Δ |
-1.2996778506618E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104617050,411853407588] |
[a1,a2,a3,a4,a6] |
Generators |
[157368:196598:27] |
Generators of the group modulo torsion |
j |
-5713153642029363769/586381824 |
j-invariant |
L |
14.346567308206 |
L(r)(E,1)/r! |
Ω |
0.17279991569793 |
Real period |
R |
0.57655664527835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2226a1 |
Quadratic twists by: 53 |