Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240r |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
79315200 = 28 · 36 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1287,17766] |
[a1,a2,a3,a4,a6] |
Generators |
[22:10:1] |
Generators of the group modulo torsion |
j |
1263257424/425 |
j-invariant |
L |
4.9545976853455 |
L(r)(E,1)/r! |
Ω |
1.8908397543683 |
Real period |
R |
1.3101580062243 |
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 |
6120k1 48960ea1 1360a1 61200br1 |
Quadratic twists by: -4 8 -3 5 |