Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344bj |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
84119976192 = 28 · 3 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45684,-3773568] |
[a1,a2,a3,a4,a6] |
Generators |
[2144:98784:1] |
Generators of the group modulo torsion |
j |
350104249168/2793 |
j-invariant |
L |
5.3744941392999 |
L(r)(E,1)/r! |
Ω |
0.32655620446797 |
Real period |
R |
4.1145245946683 |
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 |
44688g1 67032bf1 3192j1 |
Quadratic twists by: -4 -3 -7 |