Atkin-Lehner |
2- 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
54120i |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-39307502124000000 = -1 · 28 · 312 · 56 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,68244,6603300] |
[a1,a2,a3,a4,a6] |
Generators |
[413:10250:1] |
Generators of the group modulo torsion |
j |
137300084920798256/153544930171875 |
j-invariant |
L |
4.1243185710853 |
L(r)(E,1)/r! |
Ω |
0.24187157237189 |
Real period |
R |
2.1314609911528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240n2 |
Quadratic twists by: -4 |