Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
58656w |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-3.6560581657067E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 5 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-967153,989795615] |
[a1,a2,a3,a4,a6] |
Generators |
[4967:344604:1] |
Generators of the group modulo torsion |
j |
-24425854348032136000/89259232561198713 |
j-invariant |
L |
6.6599619028291 |
L(r)(E,1)/r! |
Ω |
0.14853792918996 |
Real period |
R |
0.067934509543133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656o1 117312br1 |
Quadratic twists by: -4 8 |