Atkin-Lehner |
2+ 3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84912d |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
96256 |
Modular degree for the optimal curve |
Δ |
-344663921664 = -1 · 210 · 38 · 292 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 3 -1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5096,141156] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-54:1] [-32:522:1] |
Generators of the group modulo torsion |
j |
-14295430330276/336585861 |
j-invariant |
L |
11.633918557976 |
L(r)(E,1)/r! |
Ω |
0.95856609021384 |
Real period |
R |
0.37927479247696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42456a1 |
Quadratic twists by: -4 |