Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050t |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1057996800000000 = -1 · 220 · 32 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25099,328448] |
[a1,a2,a3,a4,a6] |
j |
111917452231871/67711795200 |
j-invariant |
L |
2.4148165120257 |
L(r)(E,1)/r! |
Ω |
0.30185206400633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cy1 8610j1 |
Quadratic twists by: -3 5 |