Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fo |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.5956518792922E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1286250,-232596875] |
[a1,a2,a3,a4,a6] |
Generators |
[16811698246:1106686686141:4173281] |
Generators of the group modulo torsion |
j |
358400/243 |
j-invariant |
L |
7.0837342961441 |
L(r)(E,1)/r! |
Ω |
0.10321808144279 |
Real period |
R |
17.15720297531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bh1 88200dd1 88200gh1 |
Quadratic twists by: -3 5 -7 |