Atkin-Lehner |
37+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
3293c |
Isogeny class |
Conductor |
3293 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6168 |
Modular degree for the optimal curve |
Δ |
293077 = 37 · 892 |
Discriminant |
Eigenvalues |
0 3 -4 -3 -5 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8482,-300674] |
[a1,a2,a3,a4,a6] |
j |
67486750378131456/293077 |
j-invariant |
L |
0.99495853859472 |
L(r)(E,1)/r! |
Ω |
0.49747926929736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52688e1 29637c1 82325g1 121841a1 |
Quadratic twists by: -4 -3 5 37 |