Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16150s |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
613700000000 = 28 · 58 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2755,-40253] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:70:1] |
Generators of the group modulo torsion |
j |
147951952569/39276800 |
j-invariant |
L |
6.8699773666773 |
L(r)(E,1)/r! |
Ω |
0.67202920209881 |
Real period |
R |
1.2778420463764 |
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 |
129200cd1 3230a1 |
Quadratic twists by: -4 5 |