Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fw |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3345408 |
Modular degree for the optimal curve |
Δ |
-1.3488830103607E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427251,1770301874] |
[a1,a2,a3,a4,a6] |
Generators |
[-1271:16128:1] |
Generators of the group modulo torsion |
j |
-13475473/2107392 |
j-invariant |
L |
5.9884004019536 |
L(r)(E,1)/r! |
Ω |
0.12459987401889 |
Real period |
R |
2.0025436252872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246m1 40656bt1 121968ef1 |
Quadratic twists by: -4 -3 -11 |