Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10400d |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1331200 = -1 · 212 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ -5 -1 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,640] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] |
Generators of the group modulo torsion |
j |
-2963520/13 |
j-invariant |
L |
3.3487793963944 |
L(r)(E,1)/r! |
Ω |
2.7251829228619 |
Real period |
R |
0.30720684548375 |
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 |
10400c1 20800cz1 93600ds1 10400bh1 |
Quadratic twists by: -4 8 -3 5 |