Atkin-Lehner |
2- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656bb |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-118815975276544 = -1 · 236 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -2 3 7+ -3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2049,-526337] |
[a1,a2,a3,a4,a6] |
Generators |
[205245:8315632:125] |
Generators of the group modulo torsion |
j |
-3630961153/453246976 |
j-invariant |
L |
5.2135471080853 |
L(r)(E,1)/r! |
Ω |
0.26170360526512 |
Real period |
R |
9.9607859355519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998597293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656p1 27664l1 |
Quadratic twists by: -4 8 |