Atkin-Lehner |
2+ 3- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062h |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-31944495040805088 = -1 · 25 · 317 · 72 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180927,30889453] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:7751:1] |
Generators of the group modulo torsion |
j |
-898478481632208625/43819609109472 |
j-invariant |
L |
3.5843969601378 |
L(r)(E,1)/r! |
Ω |
0.36603787029065 |
Real period |
R |
1.2240526360351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354p1 |
Quadratic twists by: -3 |