Atkin-Lehner |
2+ 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040q |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-300510000 = -1 · 24 · 34 · 54 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49,840] |
[a1,a2,a3,a4,a6] |
j |
796706816/18781875 |
j-invariant |
L |
2.5879736503365 |
L(r)(E,1)/r! |
Ω |
1.2939868833371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520m1 |
Quadratic twists by: -4 |