Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200b |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
355250000 = 24 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183,362] |
[a1,a2,a3,a4,a6] |
Generators |
[106:75:8] |
Generators of the group modulo torsion |
j |
2725888/1421 |
j-invariant |
L |
7.8980359825929 |
L(r)(E,1)/r! |
Ω |
1.4969439908895 |
Real period |
R |
2.6380532706043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600f1 3248e1 |
Quadratic twists by: -4 5 |