Atkin-Lehner |
2+ 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350z |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
-19275300 = -1 · 22 · 33 · 52 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6,-212] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-39:1] |
Generators of the group modulo torsion |
j |
-744385/771012 |
j-invariant |
L |
5.226754214615 |
L(r)(E,1)/r! |
Ω |
0.97930520021355 |
Real period |
R |
0.44476721858407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350cd1 |
Quadratic twists by: 5 |