Atkin-Lehner |
2+ 3+ 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40170g |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-578448000 = -1 · 27 · 33 · 53 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,163,-771] |
[a1,a2,a3,a4,a6] |
j |
474369503399/578448000 |
j-invariant |
L |
2.6291636342947 |
L(r)(E,1)/r! |
Ω |
0.8763878781263 |
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 |
120510bd1 |
Quadratic twists by: -3 |