Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696p |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.9407407627858E+23 |
Discriminant |
Eigenvalues |
2- 1 1 -3 2 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6403880,-33236144108] |
[a1,a2,a3,a4,a6] |
Generators |
[3545448192150:-165239592728144:1076890625] |
Generators of the group modulo torsion |
j |
168105213359/2859697196 |
j-invariant |
L |
7.5536716952082 |
L(r)(E,1)/r! |
Ω |
0.045415771216469 |
Real period |
R |
20.790332006046 |
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 |
6962c2 944h2 |
Quadratic twists by: -4 -59 |