Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472l |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5955410157174259712 = 221 · 76 · 176 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-656993,-168227585] |
[a1,a2,a3,a4,a6] |
Generators |
[3530:203745:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
3.7081069030082 |
L(r)(E,1)/r! |
Ω |
0.16989867107448 |
Real period |
R |
5.4563505904358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472de4 4046b4 448c4 |
Quadratic twists by: -4 8 17 |