Atkin-Lehner |
2- 3+ 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bs |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-32739757608852 = -1 · 22 · 32 · 78 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -5 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6467,191687] |
[a1,a2,a3,a4,a6] |
j |
5188523375/5679252 |
j-invariant |
L |
1.7438596673433 |
L(r)(E,1)/r! |
Ω |
0.43596528749865 |
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 |
128478cx1 |
Quadratic twists by: -7 |