Atkin-Lehner |
2+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
18224b |
Isogeny class |
Conductor |
18224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
350790714368 = 210 · 17 · 674 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1859,-11822] |
[a1,a2,a3,a4,a6] |
Generators |
[-1095:7696:125] |
Generators of the group modulo torsion |
j |
693844140132/342569057 |
j-invariant |
L |
4.5331856795904 |
L(r)(E,1)/r! |
Ω |
0.76477282946111 |
Real period |
R |
5.9274931129348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9112b3 72896o3 |
Quadratic twists by: -4 8 |