Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440bz |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-9954918400 = -1 · 218 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-705,8897] |
[a1,a2,a3,a4,a6] |
j |
-148035889/37975 |
j-invariant |
L |
4.9079995381204 |
L(r)(E,1)/r! |
Ω |
1.2269998861792 |
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 |
69440df1 1085c1 |
Quadratic twists by: -4 8 |