Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032u |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-20678750208 = -1 · 212 · 32 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 3 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269,7035] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:87:1] |
Generators of the group modulo torsion |
j |
-527514112/5048523 |
j-invariant |
L |
7.8593471501465 |
L(r)(E,1)/r! |
Ω |
1.0357715019382 |
Real period |
R |
0.63232633317815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64032l1 128064bu1 |
Quadratic twists by: -4 8 |