Atkin-Lehner |
2- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120802j |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-110984542262 = -1 · 2 · 112 · 176 · 19 |
Discriminant |
Eigenvalues |
2- -3 2 -1 11+ -7 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1644,-29835] |
[a1,a2,a3,a4,a6] |
Generators |
[27700:559251:64] |
Generators of the group modulo torsion |
j |
-20346417/4598 |
j-invariant |
L |
5.7030950667341 |
L(r)(E,1)/r! |
Ω |
0.37044480977252 |
Real period |
R |
7.6976313504259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998318792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
418c1 |
Quadratic twists by: 17 |