Atkin-Lehner |
3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59565j |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
12640320 |
Modular degree for the optimal curve |
Δ |
-3.0478985845613E+24 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 11- 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-342729797,2443471348884] |
[a1,a2,a3,a4,a6] |
Generators |
[417756:24609872:27] |
Generators of the group modulo torsion |
j |
-262150383666832515001/179461669921875 |
j-invariant |
L |
7.7739466946432 |
L(r)(E,1)/r! |
Ω |
0.079268120766735 |
Real period |
R |
1.1675183360574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59565v1 |
Quadratic twists by: -19 |