Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40600t |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
116705175781250000 = 24 · 514 · 72 · 293 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166783,20368938] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4550:1] |
Generators of the group modulo torsion |
j |
2052303811262464/466820703125 |
j-invariant |
L |
4.3456208673549 |
L(r)(E,1)/r! |
Ω |
0.31287259451822 |
Real period |
R |
3.4723565945806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200c1 8120a1 |
Quadratic twists by: -4 5 |