Atkin-Lehner |
2- 3+ 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990o |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-329967000 = -1 · 23 · 33 · 53 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,-869] |
[a1,a2,a3,a4,a6] |
Generators |
[31:149:1] |
Generators of the group modulo torsion |
j |
-130323843/12221000 |
j-invariant |
L |
9.1173506364253 |
L(r)(E,1)/r! |
Ω |
0.7575085179628 |
Real period |
R |
0.3343325307558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99990b1 |
Quadratic twists by: -3 |