Atkin-Lehner |
2+ 3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232d |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-8.967417369525E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5556819,-5243639758] |
[a1,a2,a3,a4,a6] |
Generators |
[342305:1082916:125] |
Generators of the group modulo torsion |
j |
-12709983426958940834/600633986620491 |
j-invariant |
L |
8.6606396671004 |
L(r)(E,1)/r! |
Ω |
0.049030560201518 |
Real period |
R |
5.5199244753578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50616e5 33744c5 |
Quadratic twists by: -4 -3 |