Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200bp |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
2513715200000000 = 220 · 58 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1280675,-557830750] |
[a1,a2,a3,a4,a6] |
Generators |
[20943513423:-6060711827456:250047] |
Generators of the group modulo torsion |
j |
3629614769120241/39276800 |
j-invariant |
L |
8.7336422563485 |
L(r)(E,1)/r! |
Ω |
0.14191885666552 |
Real period |
R |
15.384922248186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999948414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16150a1 25840bd1 |
Quadratic twists by: -4 5 |