Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10400bd |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
1625000000 = 26 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 0 0 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-458,-3088] |
[a1,a2,a3,a4,a6] |
Generators |
[18534:485000:27] |
Generators of the group modulo torsion |
j |
85184/13 |
j-invariant |
L |
6.2386891097959 |
L(r)(E,1)/r! |
Ω |
1.042395942103 |
Real period |
R |
5.9849514544441 |
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 |
10400r1 20800cb1 93600bz1 10400t1 |
Quadratic twists by: -4 8 -3 5 |