Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126420v |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-2.4997364685006E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14381565,-21001154775] |
[a1,a2,a3,a4,a6] |
Generators |
[131385:4201750:27] |
Generators of the group modulo torsion |
j |
-10922297016484225024/8299769296875 |
j-invariant |
L |
6.5910583283576 |
L(r)(E,1)/r! |
Ω |
0.038761290505207 |
Real period |
R |
2.0243129333866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997980053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18060i1 |
Quadratic twists by: -7 |