Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216bd |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-4499409088512 = -1 · 212 · 313 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -3 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23664,1404848] |
[a1,a2,a3,a4,a6] |
Generators |
[89:61:1] |
Generators of the group modulo torsion |
j |
-490795651072/1506843 |
j-invariant |
L |
5.9073391337859 |
L(r)(E,1)/r! |
Ω |
0.77765379041209 |
Real period |
R |
3.7981806263167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6201c1 33072m1 |
Quadratic twists by: -4 -3 |