Atkin-Lehner |
2- 3+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688m |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-7.2363060210799E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47152968,179689209840] |
[a1,a2,a3,a4,a6] |
j |
-2830680648734534916567625/1766676274677722124288 |
j-invariant |
L |
1.6531493587192 |
L(r)(E,1)/r! |
Ω |
0.068881238906591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14586h4 |
Quadratic twists by: -4 |