Atkin-Lehner |
2- 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050bf |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21422100000000 = 28 · 3 · 58 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-717063,233414781] |
[a1,a2,a3,a4,a6] |
Generators |
[489:-228:1] [495:-498:1] |
Generators of the group modulo torsion |
j |
2609610344460199081/1371014400 |
j-invariant |
L |
14.011298610093 |
L(r)(E,1)/r! |
Ω |
0.55792034693335 |
Real period |
R |
1.5695899388348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210q2 |
Quadratic twists by: 5 |