Atkin-Lehner |
2- 5- 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
21730g |
Isogeny class |
Conductor |
21730 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-11125760000000 = -1 · 216 · 57 · 41 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -3 1 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5995,237657] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-1674:1] |
Generators of the group modulo torsion |
j |
-23828450490892081/11125760000000 |
j-invariant |
L |
6.9818322501893 |
L(r)(E,1)/r! |
Ω |
0.67093391745392 |
Real period |
R |
0.092911963945242 |
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 |
108650c1 |
Quadratic twists by: 5 |