Atkin-Lehner |
2+ 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478d |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-8041343974104 = -1 · 23 · 3 · 79 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -6 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14088,-663816] |
[a1,a2,a3,a4,a6] |
j |
-2628643361401/68350296 |
j-invariant |
L |
0.87507619445777 |
L(r)(E,1)/r! |
Ω |
0.21876938141729 |
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 |
18354h1 |
Quadratic twists by: -7 |