Atkin-Lehner |
3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
62001d |
Isogeny class |
Conductor |
62001 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192864 |
Modular degree for the optimal curve |
Δ |
732673376719929 = 33 · 837 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 0 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42626,-3116304] |
[a1,a2,a3,a4,a6] |
j |
970299/83 |
j-invariant |
L |
0.66814738560093 |
L(r)(E,1)/r! |
Ω |
0.33407369050514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62001c1 747b1 |
Quadratic twists by: -3 -83 |