Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344t |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
436196061025901568 = 210 · 34 · 79 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29048392,-60269971168] |
[a1,a2,a3,a4,a6] |
Generators |
[4884972829:-3095014435590:12167] |
Generators of the group modulo torsion |
j |
22501000029889239268/3620708343 |
j-invariant |
L |
7.0063384519363 |
L(r)(E,1)/r! |
Ω |
0.065030790535943 |
Real period |
R |
13.467348301848 |
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 |
44688m4 67032ch4 3192c3 |
Quadratic twists by: -4 -3 -7 |