Atkin-Lehner |
2+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124270a |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
110278518368750 = 2 · 55 · 177 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 5 4 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12770,233950] |
[a1,a2,a3,a4,a6] |
Generators |
[-777:176245:343] |
Generators of the group modulo torsion |
j |
9541617561/4568750 |
j-invariant |
L |
6.1810025571521 |
L(r)(E,1)/r! |
Ω |
0.52871416929277 |
Real period |
R |
5.8453156785945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000017898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310i1 |
Quadratic twists by: 17 |