Atkin-Lehner |
5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6355c |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-1302775 = -1 · 52 · 31 · 412 |
Discriminant |
Eigenvalues |
1 2 5- 4 -6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3,56] |
[a1,a2,a3,a4,a6] |
Generators |
[84:238:27] |
Generators of the group modulo torsion |
j |
1685159/1302775 |
j-invariant |
L |
7.145911709726 |
L(r)(E,1)/r! |
Ω |
2.1196914397882 |
Real period |
R |
3.3712037401255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680bh1 57195h1 31775c1 |
Quadratic twists by: -4 -3 5 |