Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13400a |
Isogeny class |
Conductor |
13400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-83750000 = -1 · 24 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,313] |
[a1,a2,a3,a4,a6] |
Generators |
[3:25:1] |
Generators of the group modulo torsion |
j |
340736/335 |
j-invariant |
L |
5.5808674966639 |
L(r)(E,1)/r! |
Ω |
1.2632210472117 |
Real period |
R |
0.55224573610678 |
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 |
26800h1 107200r1 120600bm1 2680d1 |
Quadratic twists by: -4 8 -3 5 |