Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344ba |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
757079785728 = 28 · 33 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8836,-314012] |
[a1,a2,a3,a4,a6] |
Generators |
[117:490:1] |
Generators of the group modulo torsion |
j |
2533446736/25137 |
j-invariant |
L |
6.2964309542817 |
L(r)(E,1)/r! |
Ω |
0.49271038606705 |
Real period |
R |
3.1947930936374 |
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 |
44688bj1 67032bc1 3192p1 |
Quadratic twists by: -4 -3 -7 |