Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cw |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.0846861639695E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4517654,-3631888429] |
[a1,a2,a3,a4,a6] |
Generators |
[2691:59539:1] |
Generators of the group modulo torsion |
j |
3590714269297/73410624 |
j-invariant |
L |
8.206807170705 |
L(r)(E,1)/r! |
Ω |
0.10368384217476 |
Real period |
R |
6.5960190418116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003595 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12138ba2 4998bl2 |
Quadratic twists by: -7 17 |