Atkin-Lehner |
3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5475c |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
697680 |
Modular degree for the optimal curve |
Δ |
-6720585240498046875 = -1 · 317 · 510 · 732 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 6 -7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34322708,-77385002182] |
[a1,a2,a3,a4,a6] |
Generators |
[248034269436085:-32052292247972358:13227977125] |
Generators of the group modulo torsion |
j |
-457897548255411097600/688187928627 |
j-invariant |
L |
1.4593447274427 |
L(r)(E,1)/r! |
Ω |
0.031187038212417 |
Real period |
R |
23.396654685563 |
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 |
87600ce1 16425h1 5475j1 |
Quadratic twists by: -4 -3 5 |