Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200ca |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-232750000 = -1 · 24 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100,-625] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1750:1] |
Generators of the group modulo torsion |
j |
442368/931 |
j-invariant |
L |
4.4604473773286 |
L(r)(E,1)/r! |
Ω |
0.9172345315756 |
Real period |
R |
2.4314650309004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13300d1 2128a1 |
Quadratic twists by: -4 5 |