Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010ba |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-720360000000 = -1 · 29 · 33 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2595,65025] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-795:1] |
Generators of the group modulo torsion |
j |
-1932619060770481/720360000000 |
j-invariant |
L |
8.7018341281879 |
L(r)(E,1)/r! |
Ω |
0.84896458106436 |
Real period |
R |
0.054232474994386 |
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 |
60030o1 100050e1 |
Quadratic twists by: -3 5 |