Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852m |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
211481828082470736 = 24 · 311 · 79 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12258624,16520010185] |
[a1,a2,a3,a4,a6] |
Generators |
[2590:46305:1] |
Generators of the group modulo torsion |
j |
148461257362505728/154112301 |
j-invariant |
L |
6.6131064032314 |
L(r)(E,1)/r! |
Ω |
0.26563412184136 |
Real period |
R |
2.0746288023517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25284e1 10836d1 |
Quadratic twists by: -3 -7 |