Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012l |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-191909872 = -1 · 24 · 73 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,142,-199] |
[a1,a2,a3,a4,a6] |
Generators |
[7:33:1] |
Generators of the group modulo torsion |
j |
68000000/41503 |
j-invariant |
L |
9.6709675401475 |
L(r)(E,1)/r! |
Ω |
1.0383377029605 |
Real period |
R |
1.552315704137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012t1 |
Quadratic twists by: 17 |