Atkin-Lehner |
2+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109888b |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
28131328 = 214 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ -1 4 1 -3 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,1693] |
[a1,a2,a3,a4,a6] |
Generators |
[52:355:1] |
Generators of the group modulo torsion |
j |
120472576/1717 |
j-invariant |
L |
8.3155303939773 |
L(r)(E,1)/r! |
Ω |
2.1085734474273 |
Real period |
R |
3.943675945688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888p1 13736g1 |
Quadratic twists by: -4 8 |