Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630dh |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
2940 |
Product of Tamagawa factors cp |
deg |
3951360 |
Modular degree for the optimal curve |
Δ |
-3.4230480200663E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35636525,81884376657] |
[a1,a2,a3,a4,a6] |
Generators |
[3574:-15017:1] |
Generators of the group modulo torsion |
j |
-42542354080718101165249/2909542809600000 |
j-invariant |
L |
11.116100648541 |
L(r)(E,1)/r! |
Ω |
0.16224715639885 |
Real period |
R |
0.023303869843205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890by1 6090q1 |
Quadratic twists by: -3 -7 |