Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12320j |
Isogeny class |
Conductor |
12320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
237160000 = 26 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157,-156] |
[a1,a2,a3,a4,a6] |
j |
6687175104/3705625 |
j-invariant |
L |
2.8901240945723 |
L(r)(E,1)/r! |
Ω |
1.4450620472862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12320c1 24640n2 110880bq1 61600c1 |
Quadratic twists by: -4 8 -3 5 |