Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850cu |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
465920 |
Modular degree for the optimal curve |
Δ |
-1854969301332000 = -1 · 25 · 320 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-332172,73799536] |
[a1,a2,a3,a4,a6] |
j |
-44481146267173013/20356316064 |
j-invariant |
L |
1.8480178887062 |
L(r)(E,1)/r! |
Ω |
0.46200447227394 |
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 |
19950cg1 59850go1 |
Quadratic twists by: -3 5 |