Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400j |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1420000000000000000 = 217 · 516 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -2 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-442008,-97353488] |
[a1,a2,a3,a4,a6] |
j |
149222774347921/22187500000 |
j-invariant |
L |
1.496005762408 |
L(r)(E,1)/r! |
Ω |
0.18700072030107 |
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 |
3550d1 113600bz1 5680h1 |
Quadratic twists by: -4 8 5 |