Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344g |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2739907795968 = 210 · 32 · 77 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8248,279868] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:588:1] |
Generators of the group modulo torsion |
j |
515150500/22743 |
j-invariant |
L |
4.6173124042269 |
L(r)(E,1)/r! |
Ω |
0.79902031353575 |
Real period |
R |
1.4446792922557 |
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 |
44688z2 67032cn2 3192f2 |
Quadratic twists by: -4 -3 -7 |