Atkin-Lehner |
2+ 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850g |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-220907520000000000 = -1 · 220 · 33 · 510 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,56550,22036500] |
[a1,a2,a3,a4,a6] |
j |
2047903540175/22620930048 |
j-invariant |
L |
1.8562309021942 |
L(r)(E,1)/r! |
Ω |
0.23202891970909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850ct1 |
Quadratic twists by: 5 |