Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600du |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.2359980739997E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142743675,-660353201750] |
[a1,a2,a3,a4,a6] |
Generators |
[41888709392113345:35619493122228506400:57915683909] |
Generators of the group modulo torsion |
j |
-6894246873502147249/47925198774000 |
j-invariant |
L |
8.5262327026119 |
L(r)(E,1)/r! |
Ω |
0.021829811879094 |
Real period |
R |
24.411091837315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cp3 37200ct3 22320bv3 |
Quadratic twists by: -4 -3 5 |