Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gc |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
-4.7410829094518E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20072811,-47912936038] |
[a1,a2,a3,a4,a6] |
Generators |
[4008469487:104055306894:704969] |
Generators of the group modulo torsion |
j |
-1397395501513/740710656 |
j-invariant |
L |
10.072404049179 |
L(r)(E,1)/r! |
Ω |
0.03479805429737 |
Real period |
R |
12.060545075981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246bk1 40656bw1 121968er1 |
Quadratic twists by: -4 -3 -11 |