Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fs |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
14598144 |
Modular degree for the optimal curve |
Δ |
-5.4896508803982E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -5 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56105643,-162147405926] |
[a1,a2,a3,a4,a6] |
Generators |
[24335:3589362:1] |
Generators of the group modulo torsion |
j |
-30515071121161/85766121 |
j-invariant |
L |
4.5336103652713 |
L(r)(E,1)/r! |
Ω |
0.027576860035755 |
Real period |
R |
6.8499615089236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623h1 40656dd1 121968ea1 |
Quadratic twists by: -4 -3 -11 |