Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910ck |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3272835177360 = 24 · 38 · 5 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1108136,448898736] |
[a1,a2,a3,a4,a6] |
Generators |
[610:-206:1] |
Generators of the group modulo torsion |
j |
1279130011356875761/27818640 |
j-invariant |
L |
12.100633404983 |
L(r)(E,1)/r! |
Ω |
0.57497552808422 |
Real period |
R |
1.3153422203207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590p3 |
Quadratic twists by: -7 |