Atkin-Lehner |
2+ 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104880u |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
267540153984000 = 210 · 314 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24040,-1207612] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:360:1] [206:1620:1] |
Generators of the group modulo torsion |
j |
1500531824910244/261269681625 |
j-invariant |
L |
12.508815616285 |
L(r)(E,1)/r! |
Ω |
0.38797641353778 |
Real period |
R |
0.76764703454241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52440q1 |
Quadratic twists by: -4 |