Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120cd |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-71708069724160 = -1 · 217 · 5 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -2 3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8641,-508575] |
[a1,a2,a3,a4,a6] |
Generators |
[6438288387:142378221564:12649337] |
Generators of the group modulo torsion |
j |
-544447565282/547089155 |
j-invariant |
L |
7.8768186826044 |
L(r)(E,1)/r! |
Ω |
0.23795184550691 |
Real period |
R |
16.55128720202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120w1 31280i1 |
Quadratic twists by: -4 8 |