Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872bh |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
6336000 |
Modular degree for the optimal curve |
Δ |
-1.2312210419712E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35033896,-79826168512] |
[a1,a2,a3,a4,a6] |
Generators |
[17288:2117016:1] |
Generators of the group modulo torsion |
j |
-2621398014591962116/6787033011 |
j-invariant |
L |
6.700406247192 |
L(r)(E,1)/r! |
Ω |
0.031027542660766 |
Real period |
R |
1.7995856009099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999503313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11352e1 |
Quadratic twists by: -11 |