Atkin-Lehner |
2+ 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bm |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-5627812455186432 = -1 · 216 · 3 · 73 · 193 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,42170,-1381096] |
[a1,a2,a3,a4,a6] |
j |
24179938914213809/16407616487424 |
j-invariant |
L |
2.9102558163235 |
L(r)(E,1)/r! |
Ω |
0.24252135958969 |
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 |
128478g1 |
Quadratic twists by: -7 |