Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040v |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-2269028401920 = -1 · 28 · 35 · 5 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2295,-58077] |
[a1,a2,a3,a4,a6] |
j |
5219664241664/8863392195 |
j-invariant |
L |
4.3123204018086 |
L(r)(E,1)/r! |
Ω |
0.43123203255904 |
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 |
44520q1 |
Quadratic twists by: -4 |