Atkin-Lehner |
2- 3- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89784i |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
41225672514816 = 28 · 317 · 29 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 0 1 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16068,-720524] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:166:1] |
Generators of the group modulo torsion |
j |
2458338528256/220902309 |
j-invariant |
L |
6.3686136878376 |
L(r)(E,1)/r! |
Ω |
0.42647784306155 |
Real period |
R |
3.7332617572779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29928c1 |
Quadratic twists by: -3 |