Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630dp |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
1008 |
Product of Tamagawa factors cp |
deg |
59270400 |
Modular degree for the optimal curve |
Δ |
-1.0735109826125E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7397985260,-244922337094128] |
[a1,a2,a3,a4,a6] |
j |
-158519866173123187194406609/3800371842888336000 |
j-invariant |
L |
8.2044807618598 |
L(r)(E,1)/r! |
Ω |
0.0081393658352191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890bs1 42630cc1 |
Quadratic twists by: -3 -7 |