Atkin-Lehner |
2+ 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064h |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
237568 |
Modular degree for the optimal curve |
Δ |
-885178368 = -1 · 214 · 34 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 4 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59013,5537565] |
[a1,a2,a3,a4,a6] |
j |
-1387248332416000/54027 |
j-invariant |
L |
2.3370031143533 |
L(r)(E,1)/r! |
Ω |
1.16850215175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064dp1 16008j1 |
Quadratic twists by: -4 8 |