Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780f |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-8115120 = -1 · 24 · 33 · 5 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
28311552/18785 |
j-invariant |
L |
6.8189367250418 |
L(r)(E,1)/r! |
Ω |
1.4631566807276 |
Real period |
R |
1.5534760824227 |
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 |
39780a1 |
Quadratic twists by: -3 |