Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cy |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32117677932942 = 2 · 34 · 79 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61104,-5832765] |
[a1,a2,a3,a4,a6] |
Generators |
[327310:2896349:1000] |
Generators of the group modulo torsion |
j |
127263527/162 |
j-invariant |
L |
5.8671831550593 |
L(r)(E,1)/r! |
Ω |
0.30367938011885 |
Real period |
R |
9.6601605780625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84966du2 84966dt2 |
Quadratic twists by: -7 17 |