Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63336k |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-322820934928128 = -1 · 28 · 37 · 76 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15196,-481980] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1144:1] |
Generators of the group modulo torsion |
j |
1515803905232048/1261019277063 |
j-invariant |
L |
3.8032435081793 |
L(r)(E,1)/r! |
Ω |
0.30008469183306 |
Real period |
R |
3.1684751106071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672t1 |
Quadratic twists by: -4 |