Atkin-Lehner |
2+ 3+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9222c |
Isogeny class |
Conductor |
9222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-19488895978148496 = -1 · 24 · 36 · 296 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,35279,-6198875] |
[a1,a2,a3,a4,a6] |
Generators |
[478:10723:1] |
Generators of the group modulo torsion |
j |
4855715981283861863/19488895978148496 |
j-invariant |
L |
2.9688165634595 |
L(r)(E,1)/r! |
Ω |
0.19541064682421 |
Real period |
R |
1.2660588576366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73776w2 27666i2 |
Quadratic twists by: -4 -3 |