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 |
Δ |
-23548000000 = -1 · 28 · 56 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,692,2112] |
[a1,a2,a3,a4,a6] |
Generators |
[1041:33582:1] |
Generators of the group modulo torsion |
j |
9148592/5887 |
j-invariant |
L |
7.8980359825929 |
L(r)(E,1)/r! |
Ω |
0.74847199544473 |
Real period |
R |
5.2761065412085 |
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 |
40600f2 3248e2 |
Quadratic twists by: -4 5 |