Atkin-Lehner |
2- 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478cc |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
1156302 = 2 · 33 · 72 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -1 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29,-43] |
[a1,a2,a3,a4,a6] |
j |
55164193/23598 |
j-invariant |
L |
2.1378603868783 |
L(r)(E,1)/r! |
Ω |
2.1378607466835 |
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 |
128478cg1 |
Quadratic twists by: -7 |