Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23994x |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
190 |
Product of Tamagawa factors cp |
deg |
340480 |
Modular degree for the optimal curve |
Δ |
470515972254990336 = 219 · 36 · 315 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 2 5 -3 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-217208,-20658437] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:4073:1] |
Generators of the group modulo torsion |
j |
1554611083084760121/645426573737984 |
j-invariant |
L |
8.4574267395437 |
L(r)(E,1)/r! |
Ω |
0.22941680677786 |
Real period |
R |
0.19402576881165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666b1 |
Quadratic twists by: -3 |