Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710by |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-389201718750000 = -1 · 24 · 3 · 510 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10036,-1029211] |
[a1,a2,a3,a4,a6] |
Generators |
[133:37:1] |
Generators of the group modulo torsion |
j |
-22754202068753/79218750000 |
j-invariant |
L |
8.1376864829561 |
L(r)(E,1)/r! |
Ω |
0.21901811833212 |
Real period |
R |
4.6444139837553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112710dd2 |
Quadratic twists by: 17 |