Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240k |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-602828800 = -1 · 212 · 52 · 7 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,1204] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:40:1] [2:32:1] |
Generators of the group modulo torsion |
j |
-24137569/147175 |
j-invariant |
L |
4.8114905929223 |
L(r)(E,1)/r! |
Ω |
1.4055271854029 |
Real period |
R |
0.85581599610655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1015a1 64960bs1 81200bm1 113680bm1 |
Quadratic twists by: -4 8 5 -7 |