Atkin-Lehner |
2- 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20670bc |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
58041360 = 24 · 34 · 5 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-945,11097] |
[a1,a2,a3,a4,a6] |
Generators |
[2:95:1] |
Generators of the group modulo torsion |
j |
93335715380881/58041360 |
j-invariant |
L |
9.6974852580847 |
L(r)(E,1)/r! |
Ω |
1.9584417447454 |
Real period |
R |
2.4758166241359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62010j1 103350g1 |
Quadratic twists by: -3 5 |