Atkin-Lehner |
2+ 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
68150h |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
39527000000000 = 29 · 59 · 292 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16042742,24736396916] |
[a1,a2,a3,a4,a6] |
Generators |
[71355:723998:27] |
Generators of the group modulo torsion |
j |
233791913750585564997/20237824 |
j-invariant |
L |
3.125950072323 |
L(r)(E,1)/r! |
Ω |
0.36111666880312 |
Real period |
R |
8.6563438977794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68150x2 |
Quadratic twists by: 5 |