Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800z |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-439814904320000000 = -1 · 215 · 57 · 112 · 175 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 11+ 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30592,31851188] |
[a1,a2,a3,a4,a6] |
j |
49471280711/6872107880 |
j-invariant |
L |
1.830737126366 |
L(r)(E,1)/r! |
Ω |
0.22884214392966 |
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 |
9350ba1 14960f1 |
Quadratic twists by: -4 5 |