Atkin-Lehner |
2+ 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890cj |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-16399319412540960 = -1 · 25 · 36 · 5 · 78 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 3 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11769,-6177907] |
[a1,a2,a3,a4,a6] |
j |
-42899409/3902240 |
j-invariant |
L |
2.0751150843149 |
L(r)(E,1)/r! |
Ω |
0.1729262807561 |
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 |
14210i1 127890bx1 |
Quadratic twists by: -3 -7 |