Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
65296bc |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
111729912561225728 = 212 · 74 · 118 · 53 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243659,-43410502] |
[a1,a2,a3,a4,a6] |
Generators |
[629:7224:1] |
Generators of the group modulo torsion |
j |
390581021251084833/27277810683893 |
j-invariant |
L |
6.850923405949 |
L(r)(E,1)/r! |
Ω |
0.21582912162884 |
Real period |
R |
3.9677936844684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4081a3 |
Quadratic twists by: -4 |