Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21070ba |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-20952778656320000 = -1 · 29 · 54 · 77 · 433 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,58015,4448415] |
[a1,a2,a3,a4,a6] |
Generators |
[433:-10752:1] |
Generators of the group modulo torsion |
j |
183550636104191/178095680000 |
j-invariant |
L |
6.464286224809 |
L(r)(E,1)/r! |
Ω |
0.25182911455284 |
Real period |
R |
0.11883951978278 |
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 |
105350e1 3010f1 |
Quadratic twists by: 5 -7 |