Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600em |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-8438451709446000 = -1 · 24 · 39 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 6 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68768,-8251707] |
[a1,a2,a3,a4,a6] |
Generators |
[403:5445:1] |
Generators of the group modulo torsion |
j |
-83891456/19683 |
j-invariant |
L |
9.7178338310435 |
L(r)(E,1)/r! |
Ω |
0.14559808745822 |
Real period |
R |
0.61800223097252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600w1 72600cb1 |
Quadratic twists by: 5 -11 |