Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74052h |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1425600 |
Modular degree for the optimal curve |
Δ |
-995649151276935936 = -1 · 28 · 317 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11- -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1765632,-904297372] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
0.3928738846703 |
L(r)(E,1)/r! |
Ω |
0.065478984414102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684c1 612d1 |
Quadratic twists by: -3 -11 |