Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360f |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-111271600 = -1 · 24 · 52 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195,1232] |
[a1,a2,a3,a4,a6] |
j |
-51514894336/6954475 |
j-invariant |
L |
3.6323927453096 |
L(r)(E,1)/r! |
Ω |
1.8161963726548 |
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 |
16720q1 66880r1 75240be1 41800q1 |
Quadratic twists by: -4 8 -3 5 |