Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1968j |
Isogeny class |
Conductor |
1968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-40808448 = -1 · 212 · 35 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 3 -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165,-819] |
[a1,a2,a3,a4,a6] |
Generators |
[20:59:1] |
Generators of the group modulo torsion |
j |
-122023936/9963 |
j-invariant |
L |
2.1886442291017 |
L(r)(E,1)/r! |
Ω |
0.66260396508077 |
Real period |
R |
3.3030955811363 |
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 |
123a1 7872bj1 5904o1 49200dn1 |
Quadratic twists by: -4 8 -3 5 |