Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600dy |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
58080000000 = 211 · 3 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-4512] |
[a1,a2,a3,a4,a6] |
j |
29282/15 |
j-invariant |
L |
3.580331655132 |
L(r)(E,1)/r! |
Ω |
0.89508291192863 |
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 |
14520k1 72600br1 |
Quadratic twists by: 5 -11 |