Atkin-Lehner |
2+ 3- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24174c |
Isogeny class |
Conductor |
24174 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
778228889536512 = 211 · 36 · 174 · 792 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-94023,11038909] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:4786:1] |
Generators of the group modulo torsion |
j |
126095937366490993/1067529340928 |
j-invariant |
L |
3.4408439872104 |
L(r)(E,1)/r! |
Ω |
0.50678019146853 |
Real period |
R |
1.6974045380699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2686a2 |
Quadratic twists by: -3 |