Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1968k |
Isogeny class |
Conductor |
1968 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-2938208256 = -1 · 215 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -2 -7 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4320,107892] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-48:1] |
Generators of the group modulo torsion |
j |
-2177286259681/717336 |
j-invariant |
L |
3.4315807077966 |
L(r)(E,1)/r! |
Ω |
1.398867433498 |
Real period |
R |
0.087611199542633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
246a1 7872r1 5904p1 49200bp1 |
Quadratic twists by: -4 8 -3 5 |