Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78652a |
Isogeny class |
Conductor |
78652 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-2105082362587904 = -1 · 28 · 7 · 537 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 5 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22472,-1786524] |
[a1,a2,a3,a4,a6] |
j |
221184/371 |
j-invariant |
L |
1.4650765604738 |
L(r)(E,1)/r! |
Ω |
0.24417942018824 |
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 |
1484a1 |
Quadratic twists by: 53 |