Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800cc |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
24950025000000 = 26 · 36 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9158,233688] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:750:1] |
Generators of the group modulo torsion |
j |
84951891136/24950025 |
j-invariant |
L |
5.6720763616667 |
L(r)(E,1)/r! |
Ω |
0.62395785274111 |
Real period |
R |
1.5150799959884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992065 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
88800be1 17760d1 |
Quadratic twists by: -4 5 |