Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bi |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-13480755200 = -1 · 218 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 5 11+ 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8155,-283510] |
[a1,a2,a3,a4,a6] |
j |
-585727549785/131648 |
j-invariant |
L |
9.0429517565921 |
L(r)(E,1)/r! |
Ω |
0.25119310355884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bd1 74800cy1 |
Quadratic twists by: -4 5 |