Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200m |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
51511250000 = 24 · 57 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2283,-41312] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:38:1] [68:350:1] |
Generators of the group modulo torsion |
j |
5266130944/206045 |
j-invariant |
L |
7.868804526275 |
L(r)(E,1)/r! |
Ω |
0.6923138251806 |
Real period |
R |
5.6829751479951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600b1 16240a1 |
Quadratic twists by: -4 5 |