Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945g |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-47218269897421875 = -1 · 311 · 57 · 76 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -1 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,34692,-10154601] |
[a1,a2,a3,a4,a6] |
Generators |
[1554:15823:8] |
Generators of the group modulo torsion |
j |
53838872576/550546875 |
j-invariant |
L |
3.7758048226547 |
L(r)(E,1)/r! |
Ω |
0.17664662441722 |
Real period |
R |
5.343726259683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315u1 1305e1 |
Quadratic twists by: -3 -7 |