Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cy |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-22236018750000 = -1 · 24 · 35 · 58 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10083,-447588] |
[a1,a2,a3,a4,a6] |
j |
-1239040/243 |
j-invariant |
L |
1.4143162053278 |
L(r)(E,1)/r! |
Ω |
0.23571937136812 |
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 |
72600bh1 72600r1 |
Quadratic twists by: 5 -11 |